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Finding the Third Proportional to 197,355 and 415,341

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Solution

The third proportional to 197,355 and 415,341 is: 874,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,355 : 415,341 = 415,341 : x
  2. Step 2: Convert to fraction form
    197,355/415,341 = 415,341/x
  3. Step 3: Cross multiply
    197,355x = 415,341 × 415,341
  4. Step 4: Simplify right side
    197,355x = 172,508,146,281
  5. Step 5: Solve for x
    x = 172,508,146,281/197,355
  6. Step 6: Final answer
    x = 874,100.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.