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Finding the Third Proportional to 129,506 and 281,150

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Solution

The third proportional to 129,506 and 281,150 is: 610,360.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,506 : 281,150 = 281,150 : x
  2. Step 2: Convert to fraction form
    129,506/281,150 = 281,150/x
  3. Step 3: Cross multiply
    129,506x = 281,150 × 281,150
  4. Step 4: Simplify right side
    129,506x = 79,045,322,500
  5. Step 5: Solve for x
    x = 79,045,322,500/129,506
  6. Step 6: Final answer
    x = 610,360.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.