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Finding the Third Proportional to 132,259.50 and 290,760

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Solution

The third proportional to 132,259.50 and 290,760 is: 639,208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,259.50 : 290,760 = 290,760 : x
  2. Step 2: Convert to fraction form
    132,259.50/290,760 = 290,760/x
  3. Step 3: Cross multiply
    132,259.50x = 290,760 × 290,760
  4. Step 4: Simplify right side
    132,259.50x = 84,541,377,600
  5. Step 5: Solve for x
    x = 84,541,377,600/132,259.50
  6. Step 6: Final answer
    x = 639,208.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.