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Finding the Third Proportional to 148,354.50 and 318,828

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Solution

The third proportional to 148,354.50 and 318,828 is: 685,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,354.50 : 318,828 = 318,828 : x
  2. Step 2: Convert to fraction form
    148,354.50/318,828 = 318,828/x
  3. Step 3: Cross multiply
    148,354.50x = 318,828 × 318,828
  4. Step 4: Simplify right side
    148,354.50x = 101,651,293,584
  5. Step 5: Solve for x
    x = 101,651,293,584/148,354.50
  6. Step 6: Final answer
    x = 685,191.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.