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Finding the Third Proportional to 201,746 and 303,489

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Solution

The third proportional to 201,746 and 303,489 is: 456,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,746 : 303,489 = 303,489 : x
  2. Step 2: Convert to fraction form
    201,746/303,489 = 303,489/x
  3. Step 3: Cross multiply
    201,746x = 303,489 × 303,489
  4. Step 4: Simplify right side
    201,746x = 92,105,573,121
  5. Step 5: Solve for x
    x = 92,105,573,121/201,746
  6. Step 6: Final answer
    x = 456,542.25

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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.