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Finding the Third Proportional to 128,304 and 278,748

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Solution

The third proportional to 128,304 and 278,748 is: 605,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,304 : 278,748 = 278,748 : x
  2. Step 2: Convert to fraction form
    128,304/278,748 = 278,748/x
  3. Step 3: Cross multiply
    128,304x = 278,748 × 278,748
  4. Step 4: Simplify right side
    128,304x = 77,700,447,504
  5. Step 5: Solve for x
    x = 77,700,447,504/128,304
  6. Step 6: Final answer
    x = 605,596.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.