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Finding the Third Proportional to 169,242 and 261,201

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Solution

The third proportional to 169,242 and 261,201 is: 403,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,242 : 261,201 = 261,201 : x
  2. Step 2: Convert to fraction form
    169,242/261,201 = 261,201/x
  3. Step 3: Cross multiply
    169,242x = 261,201 × 261,201
  4. Step 4: Simplify right side
    169,242x = 68,225,962,401
  5. Step 5: Solve for x
    x = 68,225,962,401/169,242
  6. Step 6: Final answer
    x = 403,126.66

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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.