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Finding the Third Proportional to 176,587.88 and 226,738.13

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Solution

The third proportional to 176,587.88 and 226,738.13 is: 291,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,587.88 : 226,738.13 = 226,738.13 : x
  2. Step 2: Convert to fraction form
    176,587.88/226,738.13 = 226,738.13/x
  3. Step 3: Cross multiply
    176,587.88x = 226,738.13 × 226,738.13
  4. Step 4: Simplify right side
    176,587.88x = 51,410,177,328.52
  5. Step 5: Solve for x
    x = 51,410,177,328.52/176,587.88
  6. Step 6: Final answer
    x = 291,130.85

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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.