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Finding the Third Proportional to 148,315.31 and 307,145.16

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Solution

The third proportional to 148,315.31 and 307,145.16 is: 636,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,315.31 : 307,145.16 = 307,145.16 : x
  2. Step 2: Convert to fraction form
    148,315.31/307,145.16 = 307,145.16/x
  3. Step 3: Cross multiply
    148,315.31x = 307,145.16 × 307,145.16
  4. Step 4: Simplify right side
    148,315.31x = 94,338,147,007.84
  5. Step 5: Solve for x
    x = 94,338,147,007.84/148,315.31
  6. Step 6: Final answer
    x = 636,064.78

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.