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Finding the Third Proportional to 69,340.50 and 152,205.75

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Solution

The third proportional to 69,340.50 and 152,205.75 is: 334,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,340.50 : 152,205.75 = 152,205.75 : x
  2. Step 2: Convert to fraction form
    69,340.50/152,205.75 = 152,205.75/x
  3. Step 3: Cross multiply
    69,340.50x = 152,205.75 × 152,205.75
  4. Step 4: Simplify right side
    69,340.50x = 23,166,590,333.06
  5. Step 5: Solve for x
    x = 23,166,590,333.06/69,340.50
  6. Step 6: Final answer
    x = 334,098.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.