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Finding the Third Proportional to 115,820 and 251,566

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Solution

The third proportional to 115,820 and 251,566 is: 546,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,820 : 251,566 = 251,566 : x
  2. Step 2: Convert to fraction form
    115,820/251,566 = 251,566/x
  3. Step 3: Cross multiply
    115,820x = 251,566 × 251,566
  4. Step 4: Simplify right side
    115,820x = 63,285,452,356
  5. Step 5: Solve for x
    x = 63,285,452,356/115,820
  6. Step 6: Final answer
    x = 546,412.13

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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.