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Finding the Third Proportional to 232,738 and 355,875.50

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Solution

The third proportional to 232,738 and 355,875.50 is: 544,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,738 : 355,875.50 = 355,875.50 : x
  2. Step 2: Convert to fraction form
    232,738/355,875.50 = 355,875.50/x
  3. Step 3: Cross multiply
    232,738x = 355,875.50 × 355,875.50
  4. Step 4: Simplify right side
    232,738x = 126,647,371,500.25
  5. Step 5: Solve for x
    x = 126,647,371,500.25/232,738
  6. Step 6: Final answer
    x = 544,162.84

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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.