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Finding the Third Proportional to 130,959 and 281,034

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Solution

The third proportional to 130,959 and 281,034 is: 603,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,959 : 281,034 = 281,034 : x
  2. Step 2: Convert to fraction form
    130,959/281,034 = 281,034/x
  3. Step 3: Cross multiply
    130,959x = 281,034 × 281,034
  4. Step 4: Simplify right side
    130,959x = 78,980,109,156
  5. Step 5: Solve for x
    x = 78,980,109,156/130,959
  6. Step 6: Final answer
    x = 603,090.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.