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Finding the Third Proportional to 158,758 and 215,611

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Solution

The third proportional to 158,758 and 215,611 is: 292,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,758 : 215,611 = 215,611 : x
  2. Step 2: Convert to fraction form
    158,758/215,611 = 215,611/x
  3. Step 3: Cross multiply
    158,758x = 215,611 × 215,611
  4. Step 4: Simplify right side
    158,758x = 46,488,103,321
  5. Step 5: Solve for x
    x = 46,488,103,321/158,758
  6. Step 6: Final answer
    x = 292,823.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.