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Finding the Third Proportional to 202,792 and 452,168

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Solution

The third proportional to 202,792 and 452,168 is: 1,008,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,792 : 452,168 = 452,168 : x
  2. Step 2: Convert to fraction form
    202,792/452,168 = 452,168/x
  3. Step 3: Cross multiply
    202,792x = 452,168 × 452,168
  4. Step 4: Simplify right side
    202,792x = 204,455,900,224
  5. Step 5: Solve for x
    x = 204,455,900,224/202,792
  6. Step 6: Final answer
    x = 1,008,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.