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Finding the Third Proportional to 84,480 and 196,437

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Solution

The third proportional to 84,480 and 196,437 is: 456,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,480 : 196,437 = 196,437 : x
  2. Step 2: Convert to fraction form
    84,480/196,437 = 196,437/x
  3. Step 3: Cross multiply
    84,480x = 196,437 × 196,437
  4. Step 4: Simplify right side
    84,480x = 38,587,494,969
  5. Step 5: Solve for x
    x = 38,587,494,969/84,480
  6. Step 6: Final answer
    x = 456,764.86

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.