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Finding the Third Proportional to 232,616 and 349,212

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Solution

The third proportional to 232,616 and 349,212 is: 524,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,616 : 349,212 = 349,212 : x
  2. Step 2: Convert to fraction form
    232,616/349,212 = 349,212/x
  3. Step 3: Cross multiply
    232,616x = 349,212 × 349,212
  4. Step 4: Simplify right side
    232,616x = 121,949,020,944
  5. Step 5: Solve for x
    x = 121,949,020,944/232,616
  6. Step 6: Final answer
    x = 524,250.36

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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.