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Finding the Third Proportional to 197,064 and 417,654

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Solution

The third proportional to 197,064 and 417,654 is: 885,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,064 : 417,654 = 417,654 : x
  2. Step 2: Convert to fraction form
    197,064/417,654 = 417,654/x
  3. Step 3: Cross multiply
    197,064x = 417,654 × 417,654
  4. Step 4: Simplify right side
    197,064x = 174,434,863,716
  5. Step 5: Solve for x
    x = 174,434,863,716/197,064
  6. Step 6: Final answer
    x = 885,168.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.