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Finding the Third Proportional to 148,414 and 330,046

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Solution

The third proportional to 148,414 and 330,046 is: 733,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,414 : 330,046 = 330,046 : x
  2. Step 2: Convert to fraction form
    148,414/330,046 = 330,046/x
  3. Step 3: Cross multiply
    148,414x = 330,046 × 330,046
  4. Step 4: Simplify right side
    148,414x = 108,930,362,116
  5. Step 5: Solve for x
    x = 108,930,362,116/148,414
  6. Step 6: Final answer
    x = 733,962.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.