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Finding the Third Proportional to 134,909.50 and 293,147

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Solution

The third proportional to 134,909.50 and 293,147 is: 636,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,909.50 : 293,147 = 293,147 : x
  2. Step 2: Convert to fraction form
    134,909.50/293,147 = 293,147/x
  3. Step 3: Cross multiply
    134,909.50x = 293,147 × 293,147
  4. Step 4: Simplify right side
    134,909.50x = 85,935,163,609
  5. Step 5: Solve for x
    x = 85,935,163,609/134,909.50
  6. Step 6: Final answer
    x = 636,983.78

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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.