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Finding the Third Proportional to 201,632 and 313,608

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Solution

The third proportional to 201,632 and 313,608 is: 487,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,632 : 313,608 = 313,608 : x
  2. Step 2: Convert to fraction form
    201,632/313,608 = 313,608/x
  3. Step 3: Cross multiply
    201,632x = 313,608 × 313,608
  4. Step 4: Simplify right side
    201,632x = 98,349,977,664
  5. Step 5: Solve for x
    x = 98,349,977,664/201,632
  6. Step 6: Final answer
    x = 487,769.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.