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Finding the Third Proportional to 241,165.69 and 523,848.38

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Solution

The third proportional to 241,165.69 and 523,848.38 is: 1,137,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,165.69 : 523,848.38 = 523,848.38 : x
  2. Step 2: Convert to fraction form
    241,165.69/523,848.38 = 523,848.38/x
  3. Step 3: Cross multiply
    241,165.69x = 523,848.38 × 523,848.38
  4. Step 4: Simplify right side
    241,165.69x = 274,417,119,990.14
  5. Step 5: Solve for x
    x = 274,417,119,990.14/241,165.69
  6. Step 6: Final answer
    x = 1,137,877.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.