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Finding the Third Proportional to 131,698 and 292,956

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Solution

The third proportional to 131,698 and 292,956 is: 651,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,698 : 292,956 = 292,956 : x
  2. Step 2: Convert to fraction form
    131,698/292,956 = 292,956/x
  3. Step 3: Cross multiply
    131,698x = 292,956 × 292,956
  4. Step 4: Simplify right side
    131,698x = 85,823,217,936
  5. Step 5: Solve for x
    x = 85,823,217,936/131,698
  6. Step 6: Final answer
    x = 651,666.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.