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Finding the Third Proportional to 237,680 and 356,571

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Solution

The third proportional to 237,680 and 356,571 is: 534,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,680 : 356,571 = 356,571 : x
  2. Step 2: Convert to fraction form
    237,680/356,571 = 356,571/x
  3. Step 3: Cross multiply
    237,680x = 356,571 × 356,571
  4. Step 4: Simplify right side
    237,680x = 127,142,878,041
  5. Step 5: Solve for x
    x = 127,142,878,041/237,680
  6. Step 6: Final answer
    x = 534,933.01

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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.