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Finding the Third Proportional to 243,342.56 and 524,125.69

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Solution

The third proportional to 243,342.56 and 524,125.69 is: 1,128,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,342.56 : 524,125.69 = 524,125.69 : x
  2. Step 2: Convert to fraction form
    243,342.56/524,125.69 = 524,125.69/x
  3. Step 3: Cross multiply
    243,342.56x = 524,125.69 × 524,125.69
  4. Step 4: Simplify right side
    243,342.56x = 274,707,736,297.35
  5. Step 5: Solve for x
    x = 274,707,736,297.35/243,342.56
  6. Step 6: Final answer
    x = 1,128,893.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.