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Finding the Third Proportional to 168,101 and 260,270

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Solution

The third proportional to 168,101 and 260,270 is: 402,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,101 : 260,270 = 260,270 : x
  2. Step 2: Convert to fraction form
    168,101/260,270 = 260,270/x
  3. Step 3: Cross multiply
    168,101x = 260,270 × 260,270
  4. Step 4: Simplify right side
    168,101x = 67,740,472,900
  5. Step 5: Solve for x
    x = 67,740,472,900/168,101
  6. Step 6: Final answer
    x = 402,974.84

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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.