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Finding the Third Proportional to 158,732 and 215,575

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Solution

The third proportional to 158,732 and 215,575 is: 292,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,732 : 215,575 = 215,575 : x
  2. Step 2: Convert to fraction form
    158,732/215,575 = 215,575/x
  3. Step 3: Cross multiply
    158,732x = 215,575 × 215,575
  4. Step 4: Simplify right side
    158,732x = 46,472,580,625
  5. Step 5: Solve for x
    x = 46,472,580,625/158,732
  6. Step 6: Final answer
    x = 292,773.86

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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.