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Finding the Third Proportional to 162,987.19 and 259,344.28

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Solution

The third proportional to 162,987.19 and 259,344.28 is: 412,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,987.19 : 259,344.28 = 259,344.28 : x
  2. Step 2: Convert to fraction form
    162,987.19/259,344.28 = 259,344.28/x
  3. Step 3: Cross multiply
    162,987.19x = 259,344.28 × 259,344.28
  4. Step 4: Simplify right side
    162,987.19x = 67,259,456,217.08
  5. Step 5: Solve for x
    x = 67,259,456,217.08/162,987.19
  6. Step 6: Final answer
    x = 412,667.14

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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.