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Finding the Third Proportional to 115,818 and 251,562

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Solution

The third proportional to 115,818 and 251,562 is: 546,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,818 : 251,562 = 251,562 : x
  2. Step 2: Convert to fraction form
    115,818/251,562 = 251,562/x
  3. Step 3: Cross multiply
    115,818x = 251,562 × 251,562
  4. Step 4: Simplify right side
    115,818x = 63,283,439,844
  5. Step 5: Solve for x
    x = 63,283,439,844/115,818
  6. Step 6: Final answer
    x = 546,404.18

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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.