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Finding the Third Proportional to 162,114.75 and 258,982.13

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Solution

The third proportional to 162,114.75 and 258,982.13 is: 413,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,114.75 : 258,982.13 = 258,982.13 : x
  2. Step 2: Convert to fraction form
    162,114.75/258,982.13 = 258,982.13/x
  3. Step 3: Cross multiply
    162,114.75x = 258,982.13 × 258,982.13
  4. Step 4: Simplify right side
    162,114.75x = 67,071,741,069.52
  5. Step 5: Solve for x
    x = 67,071,741,069.52/162,114.75
  6. Step 6: Final answer
    x = 413,730.03

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.