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Finding the Third Proportional to 241,666 and 363,896

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Solution

The third proportional to 241,666 and 363,896 is: 547,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,666 : 363,896 = 363,896 : x
  2. Step 2: Convert to fraction form
    241,666/363,896 = 363,896/x
  3. Step 3: Cross multiply
    241,666x = 363,896 × 363,896
  4. Step 4: Simplify right side
    241,666x = 132,420,298,816
  5. Step 5: Solve for x
    x = 132,420,298,816/241,666
  6. Step 6: Final answer
    x = 547,947.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.