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Finding the Third Proportional to 69,376.50 and 152,391

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Solution

The third proportional to 69,376.50 and 152,391 is: 334,738.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376.50 : 152,391 = 152,391 : x
  2. Step 2: Convert to fraction form
    69,376.50/152,391 = 152,391/x
  3. Step 3: Cross multiply
    69,376.50x = 152,391 × 152,391
  4. Step 4: Simplify right side
    69,376.50x = 23,223,016,881
  5. Step 5: Solve for x
    x = 23,223,016,881/69,376.50
  6. Step 6: Final answer
    x = 334,738.95

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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.