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Finding the Third Proportional to 162,101 and 260,450

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Solution

The third proportional to 162,101 and 260,450 is: 418,468.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,101 : 260,450 = 260,450 : x
  2. Step 2: Convert to fraction form
    162,101/260,450 = 260,450/x
  3. Step 3: Cross multiply
    162,101x = 260,450 × 260,450
  4. Step 4: Simplify right side
    162,101x = 67,834,202,500
  5. Step 5: Solve for x
    x = 67,834,202,500/162,101
  6. Step 6: Final answer
    x = 418,468.75

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.