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Finding the Third Proportional to 252,727.50 and 380,118

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Solution

The third proportional to 252,727.50 and 380,118 is: 571,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,727.50 : 380,118 = 380,118 : x
  2. Step 2: Convert to fraction form
    252,727.50/380,118 = 380,118/x
  3. Step 3: Cross multiply
    252,727.50x = 380,118 × 380,118
  4. Step 4: Simplify right side
    252,727.50x = 144,489,693,924
  5. Step 5: Solve for x
    x = 144,489,693,924/252,727.50
  6. Step 6: Final answer
    x = 571,721.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.