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Finding the Third Proportional to 117,543 and 261,246

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Solution

The third proportional to 117,543 and 261,246 is: 580,634.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543 : 261,246 = 261,246 : x
  2. Step 2: Convert to fraction form
    117,543/261,246 = 261,246/x
  3. Step 3: Cross multiply
    117,543x = 261,246 × 261,246
  4. Step 4: Simplify right side
    117,543x = 68,249,472,516
  5. Step 5: Solve for x
    x = 68,249,472,516/117,543
  6. Step 6: Final answer
    x = 580,634.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.