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Finding the Third Proportional to 130,113 and 282,325

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Solution

The third proportional to 130,113 and 282,325 is: 612,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,113 : 282,325 = 282,325 : x
  2. Step 2: Convert to fraction form
    130,113/282,325 = 282,325/x
  3. Step 3: Cross multiply
    130,113x = 282,325 × 282,325
  4. Step 4: Simplify right side
    130,113x = 79,707,405,625
  5. Step 5: Solve for x
    x = 79,707,405,625/130,113
  6. Step 6: Final answer
    x = 612,601.40

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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.