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Finding the Third Proportional to 148,554 and 315,515.25

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Solution

The third proportional to 148,554 and 315,515.25 is: 670,125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,554 : 315,515.25 = 315,515.25 : x
  2. Step 2: Convert to fraction form
    148,554/315,515.25 = 315,515.25/x
  3. Step 3: Cross multiply
    148,554x = 315,515.25 × 315,515.25
  4. Step 4: Simplify right side
    148,554x = 99,549,872,982.56
  5. Step 5: Solve for x
    x = 99,549,872,982.56/148,554
  6. Step 6: Final answer
    x = 670,125.83

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.