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Finding the Third Proportional to 132,195 and 273,282

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Solution

The third proportional to 132,195 and 273,282 is: 564,946.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,195 : 273,282 = 273,282 : x
  2. Step 2: Convert to fraction form
    132,195/273,282 = 273,282/x
  3. Step 3: Cross multiply
    132,195x = 273,282 × 273,282
  4. Step 4: Simplify right side
    132,195x = 74,683,051,524
  5. Step 5: Solve for x
    x = 74,683,051,524/132,195
  6. Step 6: Final answer
    x = 564,946.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.