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Finding the Third Proportional to 155,748 and 327,048

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Solution

The third proportional to 155,748 and 327,048 is: 686,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,748 : 327,048 = 327,048 : x
  2. Step 2: Convert to fraction form
    155,748/327,048 = 327,048/x
  3. Step 3: Cross multiply
    155,748x = 327,048 × 327,048
  4. Step 4: Simplify right side
    155,748x = 106,960,394,304
  5. Step 5: Solve for x
    x = 106,960,394,304/155,748
  6. Step 6: Final answer
    x = 686,752.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.