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Finding the Third Proportional to 201,742 and 303,484

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Solution

The third proportional to 201,742 and 303,484 is: 456,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742 : 303,484 = 303,484 : x
  2. Step 2: Convert to fraction form
    201,742/303,484 = 303,484/x
  3. Step 3: Cross multiply
    201,742x = 303,484 × 303,484
  4. Step 4: Simplify right side
    201,742x = 92,102,538,256
  5. Step 5: Solve for x
    x = 92,102,538,256/201,742
  6. Step 6: Final answer
    x = 456,536.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.