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Finding the Third Proportional to 156,749 and 204,201

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Solution

The third proportional to 156,749 and 204,201 is: 266,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,749 : 204,201 = 204,201 : x
  2. Step 2: Convert to fraction form
    156,749/204,201 = 204,201/x
  3. Step 3: Cross multiply
    156,749x = 204,201 × 204,201
  4. Step 4: Simplify right side
    156,749x = 41,698,048,401
  5. Step 5: Solve for x
    x = 41,698,048,401/156,749
  6. Step 6: Final answer
    x = 266,017.95

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.