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Finding the Third Proportional to 160,494 and 248,382

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Solution

The third proportional to 160,494 and 248,382 is: 384,398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,494 : 248,382 = 248,382 : x
  2. Step 2: Convert to fraction form
    160,494/248,382 = 248,382/x
  3. Step 3: Cross multiply
    160,494x = 248,382 × 248,382
  4. Step 4: Simplify right side
    160,494x = 61,693,617,924
  5. Step 5: Solve for x
    x = 61,693,617,924/160,494
  6. Step 6: Final answer
    x = 384,398.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.