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Finding the Third Proportional to 83,348 and 179,725

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Solution

The third proportional to 83,348 and 179,725 is: 387,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,348 : 179,725 = 179,725 : x
  2. Step 2: Convert to fraction form
    83,348/179,725 = 179,725/x
  3. Step 3: Cross multiply
    83,348x = 179,725 × 179,725
  4. Step 4: Simplify right side
    83,348x = 32,301,075,625
  5. Step 5: Solve for x
    x = 32,301,075,625/83,348
  6. Step 6: Final answer
    x = 387,544.70

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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.