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Finding the Third Proportional to 130,757 and 282,250

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Solution

The third proportional to 130,757 and 282,250 is: 609,260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,757 : 282,250 = 282,250 : x
  2. Step 2: Convert to fraction form
    130,757/282,250 = 282,250/x
  3. Step 3: Cross multiply
    130,757x = 282,250 × 282,250
  4. Step 4: Simplify right side
    130,757x = 79,665,062,500
  5. Step 5: Solve for x
    x = 79,665,062,500/130,757
  6. Step 6: Final answer
    x = 609,260.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.