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Finding the Third Proportional to 148,126 and 318,730.50

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Solution

The third proportional to 148,126 and 318,730.50 is: 685,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,126 : 318,730.50 = 318,730.50 : x
  2. Step 2: Convert to fraction form
    148,126/318,730.50 = 318,730.50/x
  3. Step 3: Cross multiply
    148,126x = 318,730.50 × 318,730.50
  4. Step 4: Simplify right side
    148,126x = 101,589,131,630.25
  5. Step 5: Solve for x
    x = 101,589,131,630.25/148,126
  6. Step 6: Final answer
    x = 685,829.17

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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.