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Finding the Third Proportional to 241,422 and 359,277.75

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Solution

The third proportional to 241,422 and 359,277.75 is: 534,667.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,422 : 359,277.75 = 359,277.75 : x
  2. Step 2: Convert to fraction form
    241,422/359,277.75 = 359,277.75/x
  3. Step 3: Cross multiply
    241,422x = 359,277.75 × 359,277.75
  4. Step 4: Simplify right side
    241,422x = 129,080,501,645.06
  5. Step 5: Solve for x
    x = 129,080,501,645.06/241,422
  6. Step 6: Final answer
    x = 534,667.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.