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Finding the Third Proportional to 144,245.49 and 333,902.20

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Solution

The third proportional to 144,245.49 and 333,902.20 is: 772,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,245.49 : 333,902.20 = 333,902.20 : x
  2. Step 2: Convert to fraction form
    144,245.49/333,902.20 = 333,902.20/x
  3. Step 3: Cross multiply
    144,245.49x = 333,902.20 × 333,902.20
  4. Step 4: Simplify right side
    144,245.49x = 111,490,679,539.82
  5. Step 5: Solve for x
    x = 111,490,679,539.82/144,245.49
  6. Step 6: Final answer
    x = 772,923.15

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.