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Finding the Third Proportional to 111,195 and 243,156

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Solution

The third proportional to 111,195 and 243,156 is: 531,722.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,195 : 243,156 = 243,156 : x
  2. Step 2: Convert to fraction form
    111,195/243,156 = 243,156/x
  3. Step 3: Cross multiply
    111,195x = 243,156 × 243,156
  4. Step 4: Simplify right side
    111,195x = 59,124,840,336
  5. Step 5: Solve for x
    x = 59,124,840,336/111,195
  6. Step 6: Final answer
    x = 531,722.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.