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Finding the Third Proportional to 165,172.50 and 359,866.13

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Solution

The third proportional to 165,172.50 and 359,866.13 is: 784,050.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,172.50 : 359,866.13 = 359,866.13 : x
  2. Step 2: Convert to fraction form
    165,172.50/359,866.13 = 359,866.13/x
  3. Step 3: Cross multiply
    165,172.50x = 359,866.13 × 359,866.13
  4. Step 4: Simplify right side
    165,172.50x = 129,503,627,922.52
  5. Step 5: Solve for x
    x = 129,503,627,922.52/165,172.50
  6. Step 6: Final answer
    x = 784,050.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.