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Finding the Third Proportional to 138,160.50 and 296,499

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Solution

The third proportional to 138,160.50 and 296,499 is: 636,300.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,160.50 : 296,499 = 296,499 : x
  2. Step 2: Convert to fraction form
    138,160.50/296,499 = 296,499/x
  3. Step 3: Cross multiply
    138,160.50x = 296,499 × 296,499
  4. Step 4: Simplify right side
    138,160.50x = 87,911,657,001
  5. Step 5: Solve for x
    x = 87,911,657,001/138,160.50
  6. Step 6: Final answer
    x = 636,300.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.