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Finding the Third Proportional to 201,938 and 313,562

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Solution

The third proportional to 201,938 and 313,562 is: 486,887.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,938 : 313,562 = 313,562 : x
  2. Step 2: Convert to fraction form
    201,938/313,562 = 313,562/x
  3. Step 3: Cross multiply
    201,938x = 313,562 × 313,562
  4. Step 4: Simplify right side
    201,938x = 98,321,127,844
  5. Step 5: Solve for x
    x = 98,321,127,844/201,938
  6. Step 6: Final answer
    x = 486,887.70

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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.