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Finding the Third Proportional to 148,942.13 and 319,205.81

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Solution

The third proportional to 148,942.13 and 319,205.81 is: 684,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,942.13 : 319,205.81 = 319,205.81 : x
  2. Step 2: Convert to fraction form
    148,942.13/319,205.81 = 319,205.81/x
  3. Step 3: Cross multiply
    148,942.13x = 319,205.81 × 319,205.81
  4. Step 4: Simplify right side
    148,942.13x = 101,892,350,733.79
  5. Step 5: Solve for x
    x = 101,892,350,733.79/148,942.13
  6. Step 6: Final answer
    x = 684,107.00

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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.