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Finding the Third Proportional to 138,063 and 297,874.50

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Solution

The third proportional to 138,063 and 297,874.50 is: 642,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,063 : 297,874.50 = 297,874.50 : x
  2. Step 2: Convert to fraction form
    138,063/297,874.50 = 297,874.50/x
  3. Step 3: Cross multiply
    138,063x = 297,874.50 × 297,874.50
  4. Step 4: Simplify right side
    138,063x = 88,729,217,750.25
  5. Step 5: Solve for x
    x = 88,729,217,750.25/138,063
  6. Step 6: Final answer
    x = 642,671.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.