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Finding the Third Proportional to 232,284 and 355,086

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Solution

The third proportional to 232,284 and 355,086 is: 542,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,284 : 355,086 = 355,086 : x
  2. Step 2: Convert to fraction form
    232,284/355,086 = 355,086/x
  3. Step 3: Cross multiply
    232,284x = 355,086 × 355,086
  4. Step 4: Simplify right side
    232,284x = 126,086,067,396
  5. Step 5: Solve for x
    x = 126,086,067,396/232,284
  6. Step 6: Final answer
    x = 542,809.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.