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Finding the Third Proportional to 78,661.50 and 170,443.50

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Solution

The third proportional to 78,661.50 and 170,443.50 is: 369,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,661.50 : 170,443.50 = 170,443.50 : x
  2. Step 2: Convert to fraction form
    78,661.50/170,443.50 = 170,443.50/x
  3. Step 3: Cross multiply
    78,661.50x = 170,443.50 × 170,443.50
  4. Step 4: Simplify right side
    78,661.50x = 29,050,986,692.25
  5. Step 5: Solve for x
    x = 29,050,986,692.25/78,661.50
  6. Step 6: Final answer
    x = 369,316.46

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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.