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Finding the Third Proportional to 241,178.50 and 514,394.50

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Solution

The third proportional to 241,178.50 and 514,394.50 is: 1,097,119.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,178.50 : 514,394.50 = 514,394.50 : x
  2. Step 2: Convert to fraction form
    241,178.50/514,394.50 = 514,394.50/x
  3. Step 3: Cross multiply
    241,178.50x = 514,394.50 × 514,394.50
  4. Step 4: Simplify right side
    241,178.50x = 264,601,701,630.25
  5. Step 5: Solve for x
    x = 264,601,701,630.25/241,178.50
  6. Step 6: Final answer
    x = 1,097,119.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.