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Finding the Third Proportional to 202,654 and 314,571

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Solution

The third proportional to 202,654 and 314,571 is: 488,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,654 : 314,571 = 314,571 : x
  2. Step 2: Convert to fraction form
    202,654/314,571 = 314,571/x
  3. Step 3: Cross multiply
    202,654x = 314,571 × 314,571
  4. Step 4: Simplify right side
    202,654x = 98,954,914,041
  5. Step 5: Solve for x
    x = 98,954,914,041/202,654
  6. Step 6: Final answer
    x = 488,294.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.