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Finding the Third Proportional to 158,002.88 and 345,565.69

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Solution

The third proportional to 158,002.88 and 345,565.69 is: 755,781.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,002.88 : 345,565.69 = 345,565.69 : x
  2. Step 2: Convert to fraction form
    158,002.88/345,565.69 = 345,565.69/x
  3. Step 3: Cross multiply
    158,002.88x = 345,565.69 × 345,565.69
  4. Step 4: Simplify right side
    158,002.88x = 119,415,644,377.35
  5. Step 5: Solve for x
    x = 119,415,644,377.35/158,002.88
  6. Step 6: Final answer
    x = 755,781.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.