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Finding the Third Proportional to 230,616 and 345,924

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Solution

The third proportional to 230,616 and 345,924 is: 518,886

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,616 : 345,924 = 345,924 : x
  2. Step 2: Convert to fraction form
    230,616/345,924 = 345,924/x
  3. Step 3: Cross multiply
    230,616x = 345,924 × 345,924
  4. Step 4: Simplify right side
    230,616x = 119,663,413,776
  5. Step 5: Solve for x
    x = 119,663,413,776/230,616
  6. Step 6: Final answer
    x = 518,886

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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.