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Finding the Third Proportional to 160,123.50 and 344,988

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Solution

The third proportional to 160,123.50 and 344,988 is: 743,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,123.50 : 344,988 = 344,988 : x
  2. Step 2: Convert to fraction form
    160,123.50/344,988 = 344,988/x
  3. Step 3: Cross multiply
    160,123.50x = 344,988 × 344,988
  4. Step 4: Simplify right side
    160,123.50x = 119,016,720,144
  5. Step 5: Solve for x
    x = 119,016,720,144/160,123.50
  6. Step 6: Final answer
    x = 743,280.78

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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.