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Finding the Third Proportional to 202,962 and 315,486

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Solution

The third proportional to 202,962 and 315,486 is: 490,394.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,962 : 315,486 = 315,486 : x
  2. Step 2: Convert to fraction form
    202,962/315,486 = 315,486/x
  3. Step 3: Cross multiply
    202,962x = 315,486 × 315,486
  4. Step 4: Simplify right side
    202,962x = 99,531,416,196
  5. Step 5: Solve for x
    x = 99,531,416,196/202,962
  6. Step 6: Final answer
    x = 490,394.34

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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.