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Finding the Third Proportional to 201,052.13 and 300,591

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Solution

The third proportional to 201,052.13 and 300,591 is: 449,410.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,052.13 : 300,591 = 300,591 : x
  2. Step 2: Convert to fraction form
    201,052.13/300,591 = 300,591/x
  3. Step 3: Cross multiply
    201,052.13x = 300,591 × 300,591
  4. Step 4: Simplify right side
    201,052.13x = 90,354,949,281
  5. Step 5: Solve for x
    x = 90,354,949,281/201,052.13
  6. Step 6: Final answer
    x = 449,410.57

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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.