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Finding the Third Proportional to 150,232 and 319,616

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Solution

The third proportional to 150,232 and 319,616 is: 679,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,232 : 319,616 = 319,616 : x
  2. Step 2: Convert to fraction form
    150,232/319,616 = 319,616/x
  3. Step 3: Cross multiply
    150,232x = 319,616 × 319,616
  4. Step 4: Simplify right side
    150,232x = 102,154,387,456
  5. Step 5: Solve for x
    x = 102,154,387,456/150,232
  6. Step 6: Final answer
    x = 679,977.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.