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Finding the Third Proportional to 129,320 and 200,705

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Solution

The third proportional to 129,320 and 200,705 is: 311,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,320 : 200,705 = 200,705 : x
  2. Step 2: Convert to fraction form
    129,320/200,705 = 200,705/x
  3. Step 3: Cross multiply
    129,320x = 200,705 × 200,705
  4. Step 4: Simplify right side
    129,320x = 40,282,497,025
  5. Step 5: Solve for x
    x = 40,282,497,025/129,320
  6. Step 6: Final answer
    x = 311,494.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.