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Finding the Third Proportional to 233,648 and 355,092

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Solution

The third proportional to 233,648 and 355,092 is: 539,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,648 : 355,092 = 355,092 : x
  2. Step 2: Convert to fraction form
    233,648/355,092 = 355,092/x
  3. Step 3: Cross multiply
    233,648x = 355,092 × 355,092
  4. Step 4: Simplify right side
    233,648x = 126,090,328,464
  5. Step 5: Solve for x
    x = 126,090,328,464/233,648
  6. Step 6: Final answer
    x = 539,659.35

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.