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Finding the Third Proportional to 232,752 and 353,448

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Solution

The third proportional to 232,752 and 353,448 is: 536,732.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,752 : 353,448 = 353,448 : x
  2. Step 2: Convert to fraction form
    232,752/353,448 = 353,448/x
  3. Step 3: Cross multiply
    232,752x = 353,448 × 353,448
  4. Step 4: Simplify right side
    232,752x = 124,925,488,704
  5. Step 5: Solve for x
    x = 124,925,488,704/232,752
  6. Step 6: Final answer
    x = 536,732.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.