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Finding the Third Proportional to 155,304 and 232,704

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Solution

The third proportional to 155,304 and 232,704 is: 348,678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,304 : 232,704 = 232,704 : x
  2. Step 2: Convert to fraction form
    155,304/232,704 = 232,704/x
  3. Step 3: Cross multiply
    155,304x = 232,704 × 232,704
  4. Step 4: Simplify right side
    155,304x = 54,151,151,616
  5. Step 5: Solve for x
    x = 54,151,151,616/155,304
  6. Step 6: Final answer
    x = 348,678.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.