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Finding the Third Proportional to 138,755.25 and 300,838.50

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Solution

The third proportional to 138,755.25 and 300,838.50 is: 652,254.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755.25 : 300,838.50 = 300,838.50 : x
  2. Step 2: Convert to fraction form
    138,755.25/300,838.50 = 300,838.50/x
  3. Step 3: Cross multiply
    138,755.25x = 300,838.50 × 300,838.50
  4. Step 4: Simplify right side
    138,755.25x = 90,503,803,082.25
  5. Step 5: Solve for x
    x = 90,503,803,082.25/138,755.25
  6. Step 6: Final answer
    x = 652,254.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.