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Finding the Third Proportional to 121,234 and 263,452

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Solution

The third proportional to 121,234 and 263,452 is: 572,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,234 : 263,452 = 263,452 : x
  2. Step 2: Convert to fraction form
    121,234/263,452 = 263,452/x
  3. Step 3: Cross multiply
    121,234x = 263,452 × 263,452
  4. Step 4: Simplify right side
    121,234x = 69,406,956,304
  5. Step 5: Solve for x
    x = 69,406,956,304/121,234
  6. Step 6: Final answer
    x = 572,504.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.