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Finding the Third Proportional to 131,894 and 319,073

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Solution

The third proportional to 131,894 and 319,073 is: 771,889.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,894 : 319,073 = 319,073 : x
  2. Step 2: Convert to fraction form
    131,894/319,073 = 319,073/x
  3. Step 3: Cross multiply
    131,894x = 319,073 × 319,073
  4. Step 4: Simplify right side
    131,894x = 101,807,579,329
  5. Step 5: Solve for x
    x = 101,807,579,329/131,894
  6. Step 6: Final answer
    x = 771,889.39

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.