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Finding the Third Proportional to 160,469 and 248,341

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Solution

The third proportional to 160,469 and 248,341 is: 384,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,469 : 248,341 = 248,341 : x
  2. Step 2: Convert to fraction form
    160,469/248,341 = 248,341/x
  3. Step 3: Cross multiply
    160,469x = 248,341 × 248,341
  4. Step 4: Simplify right side
    160,469x = 61,673,252,281
  5. Step 5: Solve for x
    x = 61,673,252,281/160,469
  6. Step 6: Final answer
    x = 384,331.26

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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.