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Finding the Third Proportional to 201,953 and 313,584.50

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Solution

The third proportional to 201,953 and 313,584.50 is: 486,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,953 : 313,584.50 = 313,584.50 : x
  2. Step 2: Convert to fraction form
    201,953/313,584.50 = 313,584.50/x
  3. Step 3: Cross multiply
    201,953x = 313,584.50 × 313,584.50
  4. Step 4: Simplify right side
    201,953x = 98,335,238,640.25
  5. Step 5: Solve for x
    x = 98,335,238,640.25/201,953
  6. Step 6: Final answer
    x = 486,921.41

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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.