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Finding the Third Proportional to 83,362 and 180,548

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Solution

The third proportional to 83,362 and 180,548 is: 391,036.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,362 : 180,548 = 180,548 : x
  2. Step 2: Convert to fraction form
    83,362/180,548 = 180,548/x
  3. Step 3: Cross multiply
    83,362x = 180,548 × 180,548
  4. Step 4: Simplify right side
    83,362x = 32,597,580,304
  5. Step 5: Solve for x
    x = 32,597,580,304/83,362
  6. Step 6: Final answer
    x = 391,036.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.