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Finding the Third Proportional to 207,146 and 446,002

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Solution

The third proportional to 207,146 and 446,002 is: 960,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,146 : 446,002 = 446,002 : x
  2. Step 2: Convert to fraction form
    207,146/446,002 = 446,002/x
  3. Step 3: Cross multiply
    207,146x = 446,002 × 446,002
  4. Step 4: Simplify right side
    207,146x = 198,917,784,004
  5. Step 5: Solve for x
    x = 198,917,784,004/207,146
  6. Step 6: Final answer
    x = 960,278.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.