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Finding the Third Proportional to 121,649.25 and 266,979.75

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Solution

The third proportional to 121,649.25 and 266,979.75 is: 585,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,649.25 : 266,979.75 = 266,979.75 : x
  2. Step 2: Convert to fraction form
    121,649.25/266,979.75 = 266,979.75/x
  3. Step 3: Cross multiply
    121,649.25x = 266,979.75 × 266,979.75
  4. Step 4: Simplify right side
    121,649.25x = 71,278,186,910.06
  5. Step 5: Solve for x
    x = 71,278,186,910.06/121,649.25
  6. Step 6: Final answer
    x = 585,931.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.