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Finding the Third Proportional to 156,966 and 201,544

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Solution

The third proportional to 156,966 and 201,544 is: 258,782.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,966 : 201,544 = 201,544 : x
  2. Step 2: Convert to fraction form
    156,966/201,544 = 201,544/x
  3. Step 3: Cross multiply
    156,966x = 201,544 × 201,544
  4. Step 4: Simplify right side
    156,966x = 40,619,983,936
  5. Step 5: Solve for x
    x = 40,619,983,936/156,966
  6. Step 6: Final answer
    x = 258,782.05

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.