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Finding the Third Proportional to 83,352 and 182,370

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Solution

The third proportional to 83,352 and 182,370 is: 399,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,352 : 182,370 = 182,370 : x
  2. Step 2: Convert to fraction form
    83,352/182,370 = 182,370/x
  3. Step 3: Cross multiply
    83,352x = 182,370 × 182,370
  4. Step 4: Simplify right side
    83,352x = 33,258,816,900
  5. Step 5: Solve for x
    x = 33,258,816,900/83,352
  6. Step 6: Final answer
    x = 399,016.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.