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Finding the Third Proportional to 207,100 and 452,966

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Solution

The third proportional to 207,100 and 452,966 is: 990,720.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,100 : 452,966 = 452,966 : x
  2. Step 2: Convert to fraction form
    207,100/452,966 = 452,966/x
  3. Step 3: Cross multiply
    207,100x = 452,966 × 452,966
  4. Step 4: Simplify right side
    207,100x = 205,178,197,156
  5. Step 5: Solve for x
    x = 205,178,197,156/207,100
  6. Step 6: Final answer
    x = 990,720.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.