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Finding the Third Proportional to 162,982.13 and 259,323.19

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Solution

The third proportional to 162,982.13 and 259,323.19 is: 412,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,982.13 : 259,323.19 = 259,323.19 : x
  2. Step 2: Convert to fraction form
    162,982.13/259,323.19 = 259,323.19/x
  3. Step 3: Cross multiply
    162,982.13x = 259,323.19 × 259,323.19
  4. Step 4: Simplify right side
    162,982.13x = 67,248,515,575.16
  5. Step 5: Solve for x
    x = 67,248,515,575.16/162,982.13
  6. Step 6: Final answer
    x = 412,612.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.