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Finding the Third Proportional to 124,412 and 269,822

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Solution

The third proportional to 124,412 and 269,822 is: 585,184.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,412 : 269,822 = 269,822 : x
  2. Step 2: Convert to fraction form
    124,412/269,822 = 269,822/x
  3. Step 3: Cross multiply
    124,412x = 269,822 × 269,822
  4. Step 4: Simplify right side
    124,412x = 72,803,911,684
  5. Step 5: Solve for x
    x = 72,803,911,684/124,412
  6. Step 6: Final answer
    x = 585,184.00

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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.