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Finding the Third Proportional to 169,944 and 373,341

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Solution

The third proportional to 169,944 and 373,341 is: 820,173.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,944 : 373,341 = 373,341 : x
  2. Step 2: Convert to fraction form
    169,944/373,341 = 373,341/x
  3. Step 3: Cross multiply
    169,944x = 373,341 × 373,341
  4. Step 4: Simplify right side
    169,944x = 139,383,502,281
  5. Step 5: Solve for x
    x = 139,383,502,281/169,944
  6. Step 6: Final answer
    x = 820,173.13

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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.