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Finding the Third Proportional to 201,869 and 313,464

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Solution

The third proportional to 201,869 and 313,464 is: 486,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869 : 313,464 = 313,464 : x
  2. Step 2: Convert to fraction form
    201,869/313,464 = 313,464/x
  3. Step 3: Cross multiply
    201,869x = 313,464 × 313,464
  4. Step 4: Simplify right side
    201,869x = 98,259,679,296
  5. Step 5: Solve for x
    x = 98,259,679,296/201,869
  6. Step 6: Final answer
    x = 486,749.72

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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.