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Finding the Third Proportional to 130,016 and 282,704

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Solution

The third proportional to 130,016 and 282,704 is: 614,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,016 : 282,704 = 282,704 : x
  2. Step 2: Convert to fraction form
    130,016/282,704 = 282,704/x
  3. Step 3: Cross multiply
    130,016x = 282,704 × 282,704
  4. Step 4: Simplify right side
    130,016x = 79,921,551,616
  5. Step 5: Solve for x
    x = 79,921,551,616/130,016
  6. Step 6: Final answer
    x = 614,705.51

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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.