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Finding the Third Proportional to 121,357.13 and 266,042.25

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Solution

The third proportional to 121,357.13 and 266,042.25 is: 583,224.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,357.13 : 266,042.25 = 266,042.25 : x
  2. Step 2: Convert to fraction form
    121,357.13/266,042.25 = 266,042.25/x
  3. Step 3: Cross multiply
    121,357.13x = 266,042.25 × 266,042.25
  4. Step 4: Simplify right side
    121,357.13x = 70,778,478,785.06
  5. Step 5: Solve for x
    x = 70,778,478,785.06/121,357.13
  6. Step 6: Final answer
    x = 583,224.75

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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.