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Finding the Third Proportional to 119,407.50 and 251,775

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Solution

The third proportional to 119,407.50 and 251,775 is: 530,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,407.50 : 251,775 = 251,775 : x
  2. Step 2: Convert to fraction form
    119,407.50/251,775 = 251,775/x
  3. Step 3: Cross multiply
    119,407.50x = 251,775 × 251,775
  4. Step 4: Simplify right side
    119,407.50x = 63,390,650,625
  5. Step 5: Solve for x
    x = 63,390,650,625/119,407.50
  6. Step 6: Final answer
    x = 530,876.63

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.