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Finding the Third Proportional to 171,655.50 and 265,570.50

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Solution

The third proportional to 171,655.50 and 265,570.50 is: 410,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,655.50 : 265,570.50 = 265,570.50 : x
  2. Step 2: Convert to fraction form
    171,655.50/265,570.50 = 265,570.50/x
  3. Step 3: Cross multiply
    171,655.50x = 265,570.50 × 265,570.50
  4. Step 4: Simplify right side
    171,655.50x = 70,527,690,470.25
  5. Step 5: Solve for x
    x = 70,527,690,470.25/171,655.50
  6. Step 6: Final answer
    x = 410,867.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.