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Finding the Third Proportional to 197,002 and 286,890

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Solution

The third proportional to 197,002 and 286,890 is: 417,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,002 : 286,890 = 286,890 : x
  2. Step 2: Convert to fraction form
    197,002/286,890 = 286,890/x
  3. Step 3: Cross multiply
    197,002x = 286,890 × 286,890
  4. Step 4: Simplify right side
    197,002x = 82,305,872,100
  5. Step 5: Solve for x
    x = 82,305,872,100/197,002
  6. Step 6: Final answer
    x = 417,792.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.