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Finding the Third Proportional to 201,608 and 297,814

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Solution

The third proportional to 201,608 and 297,814 is: 439,928.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,608 : 297,814 = 297,814 : x
  2. Step 2: Convert to fraction form
    201,608/297,814 = 297,814/x
  3. Step 3: Cross multiply
    201,608x = 297,814 × 297,814
  4. Step 4: Simplify right side
    201,608x = 88,693,178,596
  5. Step 5: Solve for x
    x = 88,693,178,596/201,608
  6. Step 6: Final answer
    x = 439,928.86

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.