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Finding the Third Proportional to 160,575.75 and 216,294.75

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Solution

The third proportional to 160,575.75 and 216,294.75 is: 291,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,575.75 : 216,294.75 = 216,294.75 : x
  2. Step 2: Convert to fraction form
    160,575.75/216,294.75 = 216,294.75/x
  3. Step 3: Cross multiply
    160,575.75x = 216,294.75 × 216,294.75
  4. Step 4: Simplify right side
    160,575.75x = 46,783,418,877.56
  5. Step 5: Solve for x
    x = 46,783,418,877.56/160,575.75
  6. Step 6: Final answer
    x = 291,347.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.