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Finding the Third Proportional to 130,459 and 283,224

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Solution

The third proportional to 130,459 and 283,224 is: 614,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,459 : 283,224 = 283,224 : x
  2. Step 2: Convert to fraction form
    130,459/283,224 = 283,224/x
  3. Step 3: Cross multiply
    130,459x = 283,224 × 283,224
  4. Step 4: Simplify right side
    130,459x = 80,215,834,176
  5. Step 5: Solve for x
    x = 80,215,834,176/130,459
  6. Step 6: Final answer
    x = 614,873.90

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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.