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Finding the Third Proportional to 130,704 and 283,532

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Solution

The third proportional to 130,704 and 283,532 is: 615,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,704 : 283,532 = 283,532 : x
  2. Step 2: Convert to fraction form
    130,704/283,532 = 283,532/x
  3. Step 3: Cross multiply
    130,704x = 283,532 × 283,532
  4. Step 4: Simplify right side
    130,704x = 80,390,395,024
  5. Step 5: Solve for x
    x = 80,390,395,024/130,704
  6. Step 6: Final answer
    x = 615,056.88

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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.