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Finding the Third Proportional to 138,515.50 and 214,901.50

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Solution

The third proportional to 138,515.50 and 214,901.50 is: 333,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,515.50 : 214,901.50 = 214,901.50 : x
  2. Step 2: Convert to fraction form
    138,515.50/214,901.50 = 214,901.50/x
  3. Step 3: Cross multiply
    138,515.50x = 214,901.50 × 214,901.50
  4. Step 4: Simplify right side
    138,515.50x = 46,182,654,702.25
  5. Step 5: Solve for x
    x = 46,182,654,702.25/138,515.50
  6. Step 6: Final answer
    x = 333,411.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.