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Finding the Third Proportional to 130,086 and 283,986

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Solution

The third proportional to 130,086 and 283,986 is: 619,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,086 : 283,986 = 283,986 : x
  2. Step 2: Convert to fraction form
    130,086/283,986 = 283,986/x
  3. Step 3: Cross multiply
    130,086x = 283,986 × 283,986
  4. Step 4: Simplify right side
    130,086x = 80,648,048,196
  5. Step 5: Solve for x
    x = 80,648,048,196/130,086
  6. Step 6: Final answer
    x = 619,959.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.