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Finding the Third Proportional to 250,106 and 547,649

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Solution

The third proportional to 250,106 and 547,649 is: 1,199,169.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,106 : 547,649 = 547,649 : x
  2. Step 2: Convert to fraction form
    250,106/547,649 = 547,649/x
  3. Step 3: Cross multiply
    250,106x = 547,649 × 547,649
  4. Step 4: Simplify right side
    250,106x = 299,919,427,201
  5. Step 5: Solve for x
    x = 299,919,427,201/250,106
  6. Step 6: Final answer
    x = 1,199,169.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.