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Finding the Third Proportional to 131,044 and 196,342

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Solution

The third proportional to 131,044 and 196,342 is: 294,177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,044 : 196,342 = 196,342 : x
  2. Step 2: Convert to fraction form
    131,044/196,342 = 196,342/x
  3. Step 3: Cross multiply
    131,044x = 196,342 × 196,342
  4. Step 4: Simplify right side
    131,044x = 38,550,180,964
  5. Step 5: Solve for x
    x = 38,550,180,964/131,044
  6. Step 6: Final answer
    x = 294,177.38

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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.