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Finding the Third Proportional to 130,500 and 279,948

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Solution

The third proportional to 130,500 and 279,948 is: 600,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,500 : 279,948 = 279,948 : x
  2. Step 2: Convert to fraction form
    130,500/279,948 = 279,948/x
  3. Step 3: Cross multiply
    130,500x = 279,948 × 279,948
  4. Step 4: Simplify right side
    130,500x = 78,370,882,704
  5. Step 5: Solve for x
    x = 78,370,882,704/130,500
  6. Step 6: Final answer
    x = 600,543.16

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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.