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Finding the Third Proportional to 168,050 and 260,216

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Solution

The third proportional to 168,050 and 260,216 is: 402,929.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,050 : 260,216 = 260,216 : x
  2. Step 2: Convert to fraction form
    168,050/260,216 = 260,216/x
  3. Step 3: Cross multiply
    168,050x = 260,216 × 260,216
  4. Step 4: Simplify right side
    168,050x = 67,712,366,656
  5. Step 5: Solve for x
    x = 67,712,366,656/168,050
  6. Step 6: Final answer
    x = 402,929.88

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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.