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Finding the Third Proportional to 169,749 and 373,395

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Solution

The third proportional to 169,749 and 373,395 is: 821,352.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,749 : 373,395 = 373,395 : x
  2. Step 2: Convert to fraction form
    169,749/373,395 = 373,395/x
  3. Step 3: Cross multiply
    169,749x = 373,395 × 373,395
  4. Step 4: Simplify right side
    169,749x = 139,423,826,025
  5. Step 5: Solve for x
    x = 139,423,826,025/169,749
  6. Step 6: Final answer
    x = 821,352.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.