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Finding the Third Proportional to 237,662 and 371,073

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Solution

The third proportional to 237,662 and 371,073 is: 579,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,662 : 371,073 = 371,073 : x
  2. Step 2: Convert to fraction form
    237,662/371,073 = 371,073/x
  3. Step 3: Cross multiply
    237,662x = 371,073 × 371,073
  4. Step 4: Simplify right side
    237,662x = 137,695,171,329
  5. Step 5: Solve for x
    x = 137,695,171,329/237,662
  6. Step 6: Final answer
    x = 579,373.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.