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Finding the Third Proportional to 153,932 and 236,448

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Solution

The third proportional to 153,932 and 236,448 is: 363,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,932 : 236,448 = 236,448 : x
  2. Step 2: Convert to fraction form
    153,932/236,448 = 236,448/x
  3. Step 3: Cross multiply
    153,932x = 236,448 × 236,448
  4. Step 4: Simplify right side
    153,932x = 55,907,656,704
  5. Step 5: Solve for x
    x = 55,907,656,704/153,932
  6. Step 6: Final answer
    x = 363,197.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.