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Finding the Third Proportional to 165,699.50 and 363,657

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Solution

The third proportional to 165,699.50 and 363,657 is: 798,109.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,699.50 : 363,657 = 363,657 : x
  2. Step 2: Convert to fraction form
    165,699.50/363,657 = 363,657/x
  3. Step 3: Cross multiply
    165,699.50x = 363,657 × 363,657
  4. Step 4: Simplify right side
    165,699.50x = 132,246,413,649
  5. Step 5: Solve for x
    x = 132,246,413,649/165,699.50
  6. Step 6: Final answer
    x = 798,109.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.