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Finding the Third Proportional to 130,860 and 283,848

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Solution

The third proportional to 130,860 and 283,848 is: 615,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,860 : 283,848 = 283,848 : x
  2. Step 2: Convert to fraction form
    130,860/283,848 = 283,848/x
  3. Step 3: Cross multiply
    130,860x = 283,848 × 283,848
  4. Step 4: Simplify right side
    130,860x = 80,569,687,104
  5. Step 5: Solve for x
    x = 80,569,687,104/130,860
  6. Step 6: Final answer
    x = 615,693.77

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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.