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Finding the Third Proportional to 130,143 and 196,857

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Solution

The third proportional to 130,143 and 196,857 is: 297,769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,143 : 196,857 = 196,857 : x
  2. Step 2: Convert to fraction form
    130,143/196,857 = 196,857/x
  3. Step 3: Cross multiply
    130,143x = 196,857 × 196,857
  4. Step 4: Simplify right side
    130,143x = 38,752,678,449
  5. Step 5: Solve for x
    x = 38,752,678,449/130,143
  6. Step 6: Final answer
    x = 297,769.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.