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Finding the Third Proportional to 127,981.69 and 279,291.38

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Solution

The third proportional to 127,981.69 and 279,291.38 is: 609,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,981.69 : 279,291.38 = 279,291.38 : x
  2. Step 2: Convert to fraction form
    127,981.69/279,291.38 = 279,291.38/x
  3. Step 3: Cross multiply
    127,981.69x = 279,291.38 × 279,291.38
  4. Step 4: Simplify right side
    127,981.69x = 78,003,672,149.39
  5. Step 5: Solve for x
    x = 78,003,672,149.39/127,981.69
  6. Step 6: Final answer
    x = 609,490.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.