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Finding the Third Proportional to 176,272 and 385,920

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Solution

The third proportional to 176,272 and 385,920 is: 844,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,272 : 385,920 = 385,920 : x
  2. Step 2: Convert to fraction form
    176,272/385,920 = 385,920/x
  3. Step 3: Cross multiply
    176,272x = 385,920 × 385,920
  4. Step 4: Simplify right side
    176,272x = 148,934,246,400
  5. Step 5: Solve for x
    x = 148,934,246,400/176,272
  6. Step 6: Final answer
    x = 844,911.54

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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.