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Finding the Third Proportional to 148,314.94 and 307,144.41

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Solution

The third proportional to 148,314.94 and 307,144.41 is: 636,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,314.94 : 307,144.41 = 307,144.41 : x
  2. Step 2: Convert to fraction form
    148,314.94/307,144.41 = 307,144.41/x
  3. Step 3: Cross multiply
    148,314.94x = 307,144.41 × 307,144.41
  4. Step 4: Simplify right side
    148,314.94x = 94,337,686,290.67
  5. Step 5: Solve for x
    x = 94,337,686,290.67/148,314.94
  6. Step 6: Final answer
    x = 636,063.28

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Why These Related Problems?

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