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Finding the Third Proportional to 168,161 and 249,846

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Solution

The third proportional to 168,161 and 249,846 is: 371,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,161 : 249,846 = 249,846 : x
  2. Step 2: Convert to fraction form
    168,161/249,846 = 249,846/x
  3. Step 3: Cross multiply
    168,161x = 249,846 × 249,846
  4. Step 4: Simplify right side
    168,161x = 62,423,023,716
  5. Step 5: Solve for x
    x = 62,423,023,716/168,161
  6. Step 6: Final answer
    x = 371,209.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.