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Finding the Third Proportional to 241,662 and 355,092

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Solution

The third proportional to 241,662 and 355,092 is: 521,763.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,662 : 355,092 = 355,092 : x
  2. Step 2: Convert to fraction form
    241,662/355,092 = 355,092/x
  3. Step 3: Cross multiply
    241,662x = 355,092 × 355,092
  4. Step 4: Simplify right side
    241,662x = 126,090,328,464
  5. Step 5: Solve for x
    x = 126,090,328,464/241,662
  6. Step 6: Final answer
    x = 521,763.16

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.