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Finding the Third Proportional to 97,456 and 211,424

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Solution

The third proportional to 97,456 and 211,424 is: 458,669.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,456 : 211,424 = 211,424 : x
  2. Step 2: Convert to fraction form
    97,456/211,424 = 211,424/x
  3. Step 3: Cross multiply
    97,456x = 211,424 × 211,424
  4. Step 4: Simplify right side
    97,456x = 44,700,107,776
  5. Step 5: Solve for x
    x = 44,700,107,776/97,456
  6. Step 6: Final answer
    x = 458,669.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.