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Finding the Third Proportional to 232,231 and 347,482.50

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Solution

The third proportional to 232,231 and 347,482.50 is: 519,930.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,231 : 347,482.50 = 347,482.50 : x
  2. Step 2: Convert to fraction form
    232,231/347,482.50 = 347,482.50/x
  3. Step 3: Cross multiply
    232,231x = 347,482.50 × 347,482.50
  4. Step 4: Simplify right side
    232,231x = 120,744,087,806.25
  5. Step 5: Solve for x
    x = 120,744,087,806.25/232,231
  6. Step 6: Final answer
    x = 519,930.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.