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Finding the Third Proportional to 168,106 and 260,286

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Solution

The third proportional to 168,106 and 260,286 is: 403,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,106 : 260,286 = 260,286 : x
  2. Step 2: Convert to fraction form
    168,106/260,286 = 260,286/x
  3. Step 3: Cross multiply
    168,106x = 260,286 × 260,286
  4. Step 4: Simplify right side
    168,106x = 67,748,801,796
  5. Step 5: Solve for x
    x = 67,748,801,796/168,106
  6. Step 6: Final answer
    x = 403,012.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.