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Finding the Third Proportional to 197,066 and 417,658

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Solution

The third proportional to 197,066 and 417,658 is: 885,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,066 : 417,658 = 417,658 : x
  2. Step 2: Convert to fraction form
    197,066/417,658 = 417,658/x
  3. Step 3: Cross multiply
    197,066x = 417,658 × 417,658
  4. Step 4: Simplify right side
    197,066x = 174,438,204,964
  5. Step 5: Solve for x
    x = 174,438,204,964/197,066
  6. Step 6: Final answer
    x = 885,176.57

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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.