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Finding the Third Proportional to 75,228 and 160,464

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Solution

The third proportional to 75,228 and 160,464 is: 342,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 160,464 = 160,464 : x
  2. Step 2: Convert to fraction form
    75,228/160,464 = 160,464/x
  3. Step 3: Cross multiply
    75,228x = 160,464 × 160,464
  4. Step 4: Simplify right side
    75,228x = 25,748,695,296
  5. Step 5: Solve for x
    x = 25,748,695,296/75,228
  6. Step 6: Final answer
    x = 342,275.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.