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Finding the Third Proportional to 139,387.50 and 296,757

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Solution

The third proportional to 139,387.50 and 296,757 is: 631,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,387.50 : 296,757 = 296,757 : x
  2. Step 2: Convert to fraction form
    139,387.50/296,757 = 296,757/x
  3. Step 3: Cross multiply
    139,387.50x = 296,757 × 296,757
  4. Step 4: Simplify right side
    139,387.50x = 88,064,717,049
  5. Step 5: Solve for x
    x = 88,064,717,049/139,387.50
  6. Step 6: Final answer
    x = 631,797.81

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