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Finding the Third Proportional to 84,490.59 and 171,312.47

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Solution

The third proportional to 84,490.59 and 171,312.47 is: 347,351.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,490.59 : 171,312.47 = 171,312.47 : x
  2. Step 2: Convert to fraction form
    84,490.59/171,312.47 = 171,312.47/x
  3. Step 3: Cross multiply
    84,490.59x = 171,312.47 × 171,312.47
  4. Step 4: Simplify right side
    84,490.59x = 29,347,961,949.22
  5. Step 5: Solve for x
    x = 29,347,961,949.22/84,490.59
  6. Step 6: Final answer
    x = 347,351.83

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.