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Finding the Third Proportional to 127,431 and 196,497

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Solution

The third proportional to 127,431 and 196,497 is: 302,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,431 : 196,497 = 196,497 : x
  2. Step 2: Convert to fraction form
    127,431/196,497 = 196,497/x
  3. Step 3: Cross multiply
    127,431x = 196,497 × 196,497
  4. Step 4: Simplify right side
    127,431x = 38,611,071,009
  5. Step 5: Solve for x
    x = 38,611,071,009/127,431
  6. Step 6: Final answer
    x = 302,995.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.