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Finding the Third Proportional to 201,886 and 313,480

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Solution

The third proportional to 201,886 and 313,480 is: 486,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886 : 313,480 = 313,480 : x
  2. Step 2: Convert to fraction form
    201,886/313,480 = 313,480/x
  3. Step 3: Cross multiply
    201,886x = 313,480 × 313,480
  4. Step 4: Simplify right side
    201,886x = 98,269,710,400
  5. Step 5: Solve for x
    x = 98,269,710,400/201,886
  6. Step 6: Final answer
    x = 486,758.42

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