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Finding the Third Proportional to 117,342 and 252,932

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Solution

The third proportional to 117,342 and 252,932 is: 545,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,342 : 252,932 = 252,932 : x
  2. Step 2: Convert to fraction form
    117,342/252,932 = 252,932/x
  3. Step 3: Cross multiply
    117,342x = 252,932 × 252,932
  4. Step 4: Simplify right side
    117,342x = 63,974,596,624
  5. Step 5: Solve for x
    x = 63,974,596,624/117,342
  6. Step 6: Final answer
    x = 545,197.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.