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Finding the Third Proportional to 78,335.50 and 165,600.50

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Solution

The third proportional to 78,335.50 and 165,600.50 is: 350,077.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,335.50 : 165,600.50 = 165,600.50 : x
  2. Step 2: Convert to fraction form
    78,335.50/165,600.50 = 165,600.50/x
  3. Step 3: Cross multiply
    78,335.50x = 165,600.50 × 165,600.50
  4. Step 4: Simplify right side
    78,335.50x = 27,423,525,600.25
  5. Step 5: Solve for x
    x = 27,423,525,600.25/78,335.50
  6. Step 6: Final answer
    x = 350,077.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.