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Finding the Third Proportional to 130,914 and 201,474

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Solution

The third proportional to 130,914 and 201,474 is: 310,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,914 : 201,474 = 201,474 : x
  2. Step 2: Convert to fraction form
    130,914/201,474 = 201,474/x
  3. Step 3: Cross multiply
    130,914x = 201,474 × 201,474
  4. Step 4: Simplify right side
    130,914x = 40,591,772,676
  5. Step 5: Solve for x
    x = 40,591,772,676/130,914
  6. Step 6: Final answer
    x = 310,064.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.