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Finding the Third Proportional to 232,725 and 361,842.75

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Solution

The third proportional to 232,725 and 361,842.75 is: 562,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,725 : 361,842.75 = 361,842.75 : x
  2. Step 2: Convert to fraction form
    232,725/361,842.75 = 361,842.75/x
  3. Step 3: Cross multiply
    232,725x = 361,842.75 × 361,842.75
  4. Step 4: Simplify right side
    232,725x = 130,930,175,727.56
  5. Step 5: Solve for x
    x = 130,930,175,727.56/232,725
  6. Step 6: Final answer
    x = 562,596.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.