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Finding the Third Proportional to 177,748.88 and 251,508.38

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Solution

The third proportional to 177,748.88 and 251,508.38 is: 355,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,748.88 : 251,508.38 = 251,508.38 : x
  2. Step 2: Convert to fraction form
    177,748.88/251,508.38 = 251,508.38/x
  3. Step 3: Cross multiply
    177,748.88x = 251,508.38 × 251,508.38
  4. Step 4: Simplify right side
    177,748.88x = 63,256,462,695.14
  5. Step 5: Solve for x
    x = 63,256,462,695.14/177,748.88
  6. Step 6: Final answer
    x = 355,875.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.