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Finding the Third Proportional to 193,688.50 and 418,499

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Solution

The third proportional to 193,688.50 and 418,499 is: 904,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,688.50 : 418,499 = 418,499 : x
  2. Step 2: Convert to fraction form
    193,688.50/418,499 = 418,499/x
  3. Step 3: Cross multiply
    193,688.50x = 418,499 × 418,499
  4. Step 4: Simplify right side
    193,688.50x = 175,141,413,001
  5. Step 5: Solve for x
    x = 175,141,413,001/193,688.50
  6. Step 6: Final answer
    x = 904,242.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.