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Finding the Third Proportional to 178,566 and 391,395

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Solution

The third proportional to 178,566 and 391,395 is: 857,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,566 : 391,395 = 391,395 : x
  2. Step 2: Convert to fraction form
    178,566/391,395 = 391,395/x
  3. Step 3: Cross multiply
    178,566x = 391,395 × 391,395
  4. Step 4: Simplify right side
    178,566x = 153,190,046,025
  5. Step 5: Solve for x
    x = 153,190,046,025/178,566
  6. Step 6: Final answer
    x = 857,890.34

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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.