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Finding the Third Proportional to 160,540 and 254,418

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Solution

The third proportional to 160,540 and 254,418 is: 403,192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,540 : 254,418 = 254,418 : x
  2. Step 2: Convert to fraction form
    160,540/254,418 = 254,418/x
  3. Step 3: Cross multiply
    160,540x = 254,418 × 254,418
  4. Step 4: Simplify right side
    160,540x = 64,728,518,724
  5. Step 5: Solve for x
    x = 64,728,518,724/160,540
  6. Step 6: Final answer
    x = 403,192.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.