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Finding the Third Proportional to 121,511 and 261,649

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Solution

The third proportional to 121,511 and 261,649 is: 563,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,511 : 261,649 = 261,649 : x
  2. Step 2: Convert to fraction form
    121,511/261,649 = 261,649/x
  3. Step 3: Cross multiply
    121,511x = 261,649 × 261,649
  4. Step 4: Simplify right side
    121,511x = 68,460,199,201
  5. Step 5: Solve for x
    x = 68,460,199,201/121,511
  6. Step 6: Final answer
    x = 563,407.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.