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Finding the Third Proportional to 207,310 and 452,144

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Solution

The third proportional to 207,310 and 452,144 is: 986,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,310 : 452,144 = 452,144 : x
  2. Step 2: Convert to fraction form
    207,310/452,144 = 452,144/x
  3. Step 3: Cross multiply
    207,310x = 452,144 × 452,144
  4. Step 4: Simplify right side
    207,310x = 204,434,196,736
  5. Step 5: Solve for x
    x = 204,434,196,736/207,310
  6. Step 6: Final answer
    x = 986,128.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.