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Finding the Third Proportional to 196,960 and 417,552

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Solution

The third proportional to 196,960 and 417,552 is: 885,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,960 : 417,552 = 417,552 : x
  2. Step 2: Convert to fraction form
    196,960/417,552 = 417,552/x
  3. Step 3: Cross multiply
    196,960x = 417,552 × 417,552
  4. Step 4: Simplify right side
    196,960x = 174,349,672,704
  5. Step 5: Solve for x
    x = 174,349,672,704/196,960
  6. Step 6: Final answer
    x = 885,203.46

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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.