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Finding the Third Proportional to 176,578.88 and 226,732.50

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Solution

The third proportional to 176,578.88 and 226,732.50 is: 291,131.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,578.88 : 226,732.50 = 226,732.50 : x
  2. Step 2: Convert to fraction form
    176,578.88/226,732.50 = 226,732.50/x
  3. Step 3: Cross multiply
    176,578.88x = 226,732.50 × 226,732.50
  4. Step 4: Simplify right side
    176,578.88x = 51,407,626,556.25
  5. Step 5: Solve for x
    x = 51,407,626,556.25/176,578.88
  6. Step 6: Final answer
    x = 291,131.24

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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.