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Finding the Third Proportional to 232,281 and 355,083.75

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Solution

The third proportional to 232,281 and 355,083.75 is: 542,810.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,281 : 355,083.75 = 355,083.75 : x
  2. Step 2: Convert to fraction form
    232,281/355,083.75 = 355,083.75/x
  3. Step 3: Cross multiply
    232,281x = 355,083.75 × 355,083.75
  4. Step 4: Simplify right side
    232,281x = 126,084,469,514.06
  5. Step 5: Solve for x
    x = 126,084,469,514.06/232,281
  6. Step 6: Final answer
    x = 542,810.09

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