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Finding the Third Proportional to 220,162 and 260,014

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Solution

The third proportional to 220,162 and 260,014 is: 307,079.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,162 : 260,014 = 260,014 : x
  2. Step 2: Convert to fraction form
    220,162/260,014 = 260,014/x
  3. Step 3: Cross multiply
    220,162x = 260,014 × 260,014
  4. Step 4: Simplify right side
    220,162x = 67,607,280,196
  5. Step 5: Solve for x
    x = 67,607,280,196/220,162
  6. Step 6: Final answer
    x = 307,079.70

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.