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Finding the Third Proportional to 157,783.50 and 344,479

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Solution

The third proportional to 157,783.50 and 344,479 is: 752,079.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,783.50 : 344,479 = 344,479 : x
  2. Step 2: Convert to fraction form
    157,783.50/344,479 = 344,479/x
  3. Step 3: Cross multiply
    157,783.50x = 344,479 × 344,479
  4. Step 4: Simplify right side
    157,783.50x = 118,665,781,441
  5. Step 5: Solve for x
    x = 118,665,781,441/157,783.50
  6. Step 6: Final answer
    x = 752,079.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.