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Finding the Third Proportional to 176,305 and 387,598

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Solution

The third proportional to 176,305 and 387,598 is: 852,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,305 : 387,598 = 387,598 : x
  2. Step 2: Convert to fraction form
    176,305/387,598 = 387,598/x
  3. Step 3: Cross multiply
    176,305x = 387,598 × 387,598
  4. Step 4: Simplify right side
    176,305x = 150,232,209,604
  5. Step 5: Solve for x
    x = 150,232,209,604/176,305
  6. Step 6: Final answer
    x = 852,115.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.