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Finding the Third Proportional to 124,213 and 269,431

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Solution

The third proportional to 124,213 and 269,431 is: 584,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,213 : 269,431 = 269,431 : x
  2. Step 2: Convert to fraction form
    124,213/269,431 = 269,431/x
  3. Step 3: Cross multiply
    124,213x = 269,431 × 269,431
  4. Step 4: Simplify right side
    124,213x = 72,593,063,761
  5. Step 5: Solve for x
    x = 72,593,063,761/124,213
  6. Step 6: Final answer
    x = 584,424.04

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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.