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Finding the Third Proportional to 83,348 and 179,730

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Solution

The third proportional to 83,348 and 179,730 is: 387,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,348 : 179,730 = 179,730 : x
  2. Step 2: Convert to fraction form
    83,348/179,730 = 179,730/x
  3. Step 3: Cross multiply
    83,348x = 179,730 × 179,730
  4. Step 4: Simplify right side
    83,348x = 32,302,872,900
  5. Step 5: Solve for x
    x = 32,302,872,900/83,348
  6. Step 6: Final answer
    x = 387,566.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.