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Finding the Third Proportional to 121,082.34 and 266,225.48

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Solution

The third proportional to 121,082.34 and 266,225.48 is: 585,353.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,082.34 : 266,225.48 = 266,225.48 : x
  2. Step 2: Convert to fraction form
    121,082.34/266,225.48 = 266,225.48/x
  3. Step 3: Cross multiply
    121,082.34x = 266,225.48 × 266,225.48
  4. Step 4: Simplify right side
    121,082.34x = 70,876,008,530.70
  5. Step 5: Solve for x
    x = 70,876,008,530.70/121,082.34
  6. Step 6: Final answer
    x = 585,353.79

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Why These Related Problems?

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