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Finding the Third Proportional to 197,662 and 423,206

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Solution

The third proportional to 197,662 and 423,206 is: 906,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,662 : 423,206 = 423,206 : x
  2. Step 2: Convert to fraction form
    197,662/423,206 = 423,206/x
  3. Step 3: Cross multiply
    197,662x = 423,206 × 423,206
  4. Step 4: Simplify right side
    197,662x = 179,103,318,436
  5. Step 5: Solve for x
    x = 179,103,318,436/197,662
  6. Step 6: Final answer
    x = 906,109.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.