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Finding the Third Proportional to 165,565.50 and 368,607

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Solution

The third proportional to 165,565.50 and 368,607 is: 820,648.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,565.50 : 368,607 = 368,607 : x
  2. Step 2: Convert to fraction form
    165,565.50/368,607 = 368,607/x
  3. Step 3: Cross multiply
    165,565.50x = 368,607 × 368,607
  4. Step 4: Simplify right side
    165,565.50x = 135,871,120,449
  5. Step 5: Solve for x
    x = 135,871,120,449/165,565.50
  6. Step 6: Final answer
    x = 820,648.75

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.