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Finding the Third Proportional to 243,195 and 530,238

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Solution

The third proportional to 243,195 and 530,238 is: 1,156,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,195 : 530,238 = 530,238 : x
  2. Step 2: Convert to fraction form
    243,195/530,238 = 530,238/x
  3. Step 3: Cross multiply
    243,195x = 530,238 × 530,238
  4. Step 4: Simplify right side
    243,195x = 281,152,336,644
  5. Step 5: Solve for x
    x = 281,152,336,644/243,195
  6. Step 6: Final answer
    x = 1,156,077.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.