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Finding the Third Proportional to 130,462 and 283,230

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Solution

The third proportional to 130,462 and 283,230 is: 614,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,462 : 283,230 = 283,230 : x
  2. Step 2: Convert to fraction form
    130,462/283,230 = 283,230/x
  3. Step 3: Cross multiply
    130,462x = 283,230 × 283,230
  4. Step 4: Simplify right side
    130,462x = 80,219,232,900
  5. Step 5: Solve for x
    x = 80,219,232,900/130,462
  6. Step 6: Final answer
    x = 614,885.81

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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.