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Finding the Third Proportional to 124,400 and 269,797

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Solution

The third proportional to 124,400 and 269,797 is: 585,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,400 : 269,797 = 269,797 : x
  2. Step 2: Convert to fraction form
    124,400/269,797 = 269,797/x
  3. Step 3: Cross multiply
    124,400x = 269,797 × 269,797
  4. Step 4: Simplify right side
    124,400x = 72,790,421,209
  5. Step 5: Solve for x
    x = 72,790,421,209/124,400
  6. Step 6: Final answer
    x = 585,132.00

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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.