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Finding the Third Proportional to 148,473 and 330,068.25

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Solution

The third proportional to 148,473 and 330,068.25 is: 733,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,473 : 330,068.25 = 330,068.25 : x
  2. Step 2: Convert to fraction form
    148,473/330,068.25 = 330,068.25/x
  3. Step 3: Cross multiply
    148,473x = 330,068.25 × 330,068.25
  4. Step 4: Simplify right side
    148,473x = 108,945,049,658.06
  5. Step 5: Solve for x
    x = 108,945,049,658.06/148,473
  6. Step 6: Final answer
    x = 733,770.11

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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.