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Finding the Third Proportional to 83,370 and 182,553

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Solution

The third proportional to 83,370 and 182,553 is: 399,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,370 : 182,553 = 182,553 : x
  2. Step 2: Convert to fraction form
    83,370/182,553 = 182,553/x
  3. Step 3: Cross multiply
    83,370x = 182,553 × 182,553
  4. Step 4: Simplify right side
    83,370x = 33,325,597,809
  5. Step 5: Solve for x
    x = 33,325,597,809/83,370
  6. Step 6: Final answer
    x = 399,731.29

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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.