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Finding the Third Proportional to 152,977 and 331,372

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Solution

The third proportional to 152,977 and 331,372 is: 717,803.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,977 : 331,372 = 331,372 : x
  2. Step 2: Convert to fraction form
    152,977/331,372 = 331,372/x
  3. Step 3: Cross multiply
    152,977x = 331,372 × 331,372
  4. Step 4: Simplify right side
    152,977x = 109,807,402,384
  5. Step 5: Solve for x
    x = 109,807,402,384/152,977
  6. Step 6: Final answer
    x = 717,803.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.