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Finding the Third Proportional to 128,418 and 275,952

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Solution

The third proportional to 128,418 and 275,952 is: 592,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,418 : 275,952 = 275,952 : x
  2. Step 2: Convert to fraction form
    128,418/275,952 = 275,952/x
  3. Step 3: Cross multiply
    128,418x = 275,952 × 275,952
  4. Step 4: Simplify right side
    128,418x = 76,149,506,304
  5. Step 5: Solve for x
    x = 76,149,506,304/128,418
  6. Step 6: Final answer
    x = 592,981.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.