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Finding the Third Proportional to 201,650 and 309,524

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Solution

The third proportional to 201,650 and 309,524 is: 475,105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,650 : 309,524 = 309,524 : x
  2. Step 2: Convert to fraction form
    201,650/309,524 = 309,524/x
  3. Step 3: Cross multiply
    201,650x = 309,524 × 309,524
  4. Step 4: Simplify right side
    201,650x = 95,805,106,576
  5. Step 5: Solve for x
    x = 95,805,106,576/201,650
  6. Step 6: Final answer
    x = 475,105.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.