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Finding the Third Proportional to 179,151.75 and 227,106.28

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Solution

The third proportional to 179,151.75 and 227,106.28 is: 287,897.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,151.75 : 227,106.28 = 227,106.28 : x
  2. Step 2: Convert to fraction form
    179,151.75/227,106.28 = 227,106.28/x
  3. Step 3: Cross multiply
    179,151.75x = 227,106.28 × 227,106.28
  4. Step 4: Simplify right side
    179,151.75x = 51,577,262,983.20
  5. Step 5: Solve for x
    x = 51,577,262,983.20/179,151.75
  6. Step 6: Final answer
    x = 287,897.06

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.