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Finding the Third Proportional to 250,123.50 and 547,681.50

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Solution

The third proportional to 250,123.50 and 547,681.50 is: 1,199,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,123.50 : 547,681.50 = 547,681.50 : x
  2. Step 2: Convert to fraction form
    250,123.50/547,681.50 = 547,681.50/x
  3. Step 3: Cross multiply
    250,123.50x = 547,681.50 × 547,681.50
  4. Step 4: Simplify right side
    250,123.50x = 299,955,025,442.25
  5. Step 5: Solve for x
    x = 299,955,025,442.25/250,123.50
  6. Step 6: Final answer
    x = 1,199,227.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.