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Finding the Third Proportional to 230,552 and 345,828

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Solution

The third proportional to 230,552 and 345,828 is: 518,742

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,552 : 345,828 = 345,828 : x
  2. Step 2: Convert to fraction form
    230,552/345,828 = 345,828/x
  3. Step 3: Cross multiply
    230,552x = 345,828 × 345,828
  4. Step 4: Simplify right side
    230,552x = 119,597,005,584
  5. Step 5: Solve for x
    x = 119,597,005,584/230,552
  6. Step 6: Final answer
    x = 518,742

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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.