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Finding the Third Proportional to 127,150 and 279,196

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Solution

The third proportional to 127,150 and 279,196 is: 613,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,150 : 279,196 = 279,196 : x
  2. Step 2: Convert to fraction form
    127,150/279,196 = 279,196/x
  3. Step 3: Cross multiply
    127,150x = 279,196 × 279,196
  4. Step 4: Simplify right side
    127,150x = 77,950,406,416
  5. Step 5: Solve for x
    x = 77,950,406,416/127,150
  6. Step 6: Final answer
    x = 613,058.64

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.