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Finding the Third Proportional to 232,715 and 360,304

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Solution

The third proportional to 232,715 and 360,304 is: 557,845.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,715 : 360,304 = 360,304 : x
  2. Step 2: Convert to fraction form
    232,715/360,304 = 360,304/x
  3. Step 3: Cross multiply
    232,715x = 360,304 × 360,304
  4. Step 4: Simplify right side
    232,715x = 129,818,972,416
  5. Step 5: Solve for x
    x = 129,818,972,416/232,715
  6. Step 6: Final answer
    x = 557,845.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.