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Finding the Third Proportional to 130,932 and 282,762

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Solution

The third proportional to 130,932 and 282,762 is: 610,655.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,932 : 282,762 = 282,762 : x
  2. Step 2: Convert to fraction form
    130,932/282,762 = 282,762/x
  3. Step 3: Cross multiply
    130,932x = 282,762 × 282,762
  4. Step 4: Simplify right side
    130,932x = 79,954,348,644
  5. Step 5: Solve for x
    x = 79,954,348,644/130,932
  6. Step 6: Final answer
    x = 610,655.52

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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.