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Finding the Third Proportional to 176,572.13 and 226,719

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Solution

The third proportional to 176,572.13 and 226,719 is: 291,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,572.13 : 226,719 = 226,719 : x
  2. Step 2: Convert to fraction form
    176,572.13/226,719 = 226,719/x
  3. Step 3: Cross multiply
    176,572.13x = 226,719 × 226,719
  4. Step 4: Simplify right side
    176,572.13x = 51,401,504,961
  5. Step 5: Solve for x
    x = 51,401,504,961/176,572.13
  6. Step 6: Final answer
    x = 291,107.70

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.