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Finding the Third Proportional to 153,474 and 333,192

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Solution

The third proportional to 153,474 and 333,192 is: 723,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,474 : 333,192 = 333,192 : x
  2. Step 2: Convert to fraction form
    153,474/333,192 = 333,192/x
  3. Step 3: Cross multiply
    153,474x = 333,192 × 333,192
  4. Step 4: Simplify right side
    153,474x = 111,016,908,864
  5. Step 5: Solve for x
    x = 111,016,908,864/153,474
  6. Step 6: Final answer
    x = 723,359.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.