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Finding the Third Proportional to 165,021 and 361,597.50

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Solution

The third proportional to 165,021 and 361,597.50 is: 792,340.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,021 : 361,597.50 = 361,597.50 : x
  2. Step 2: Convert to fraction form
    165,021/361,597.50 = 361,597.50/x
  3. Step 3: Cross multiply
    165,021x = 361,597.50 × 361,597.50
  4. Step 4: Simplify right side
    165,021x = 130,752,752,006.25
  5. Step 5: Solve for x
    x = 130,752,752,006.25/165,021
  6. Step 6: Final answer
    x = 792,340.08

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