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Finding the Third Proportional to 233,305.50 and 490,107

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Solution

The third proportional to 233,305.50 and 490,107 is: 1,029,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,305.50 : 490,107 = 490,107 : x
  2. Step 2: Convert to fraction form
    233,305.50/490,107 = 490,107/x
  3. Step 3: Cross multiply
    233,305.50x = 490,107 × 490,107
  4. Step 4: Simplify right side
    233,305.50x = 240,204,871,449
  5. Step 5: Solve for x
    x = 240,204,871,449/233,305.50
  6. Step 6: Final answer
    x = 1,029,572.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.