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Finding the Third Proportional to 160,418 and 348,548

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Solution

The third proportional to 160,418 and 348,548 is: 757,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,418 : 348,548 = 348,548 : x
  2. Step 2: Convert to fraction form
    160,418/348,548 = 348,548/x
  3. Step 3: Cross multiply
    160,418x = 348,548 × 348,548
  4. Step 4: Simplify right side
    160,418x = 121,485,708,304
  5. Step 5: Solve for x
    x = 121,485,708,304/160,418
  6. Step 6: Final answer
    x = 757,307.21

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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.