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Finding the Third Proportional to 182,772.50 and 272,637.50

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Solution

The third proportional to 182,772.50 and 272,637.50 is: 406,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,772.50 : 272,637.50 = 272,637.50 : x
  2. Step 2: Convert to fraction form
    182,772.50/272,637.50 = 272,637.50/x
  3. Step 3: Cross multiply
    182,772.50x = 272,637.50 × 272,637.50
  4. Step 4: Simplify right side
    182,772.50x = 74,331,206,406.25
  5. Step 5: Solve for x
    x = 74,331,206,406.25/182,772.50
  6. Step 6: Final answer
    x = 406,687.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.