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Finding the Third Proportional to 163,822 and 220,146

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Solution

The third proportional to 163,822 and 220,146 is: 295,834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,822 : 220,146 = 220,146 : x
  2. Step 2: Convert to fraction form
    163,822/220,146 = 220,146/x
  3. Step 3: Cross multiply
    163,822x = 220,146 × 220,146
  4. Step 4: Simplify right side
    163,822x = 48,464,261,316
  5. Step 5: Solve for x
    x = 48,464,261,316/163,822
  6. Step 6: Final answer
    x = 295,834.88

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.