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Finding the Third Proportional to 169,567.50 and 368,295

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Solution

The third proportional to 169,567.50 and 368,295 is: 799,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,567.50 : 368,295 = 368,295 : x
  2. Step 2: Convert to fraction form
    169,567.50/368,295 = 368,295/x
  3. Step 3: Cross multiply
    169,567.50x = 368,295 × 368,295
  4. Step 4: Simplify right side
    169,567.50x = 135,641,207,025
  5. Step 5: Solve for x
    x = 135,641,207,025/169,567.50
  6. Step 6: Final answer
    x = 799,924.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.