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Finding the Third Proportional to 148,944.75 and 319,210.50

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Solution

The third proportional to 148,944.75 and 319,210.50 is: 684,115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,944.75 : 319,210.50 = 319,210.50 : x
  2. Step 2: Convert to fraction form
    148,944.75/319,210.50 = 319,210.50/x
  3. Step 3: Cross multiply
    148,944.75x = 319,210.50 × 319,210.50
  4. Step 4: Simplify right side
    148,944.75x = 101,895,343,310.25
  5. Step 5: Solve for x
    x = 101,895,343,310.25/148,944.75
  6. Step 6: Final answer
    x = 684,115.04

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.