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Finding the Third Proportional to 124,210 and 269,425

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Solution

The third proportional to 124,210 and 269,425 is: 584,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,210 : 269,425 = 269,425 : x
  2. Step 2: Convert to fraction form
    124,210/269,425 = 269,425/x
  3. Step 3: Cross multiply
    124,210x = 269,425 × 269,425
  4. Step 4: Simplify right side
    124,210x = 72,589,830,625
  5. Step 5: Solve for x
    x = 72,589,830,625/124,210
  6. Step 6: Final answer
    x = 584,412.13

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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.