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Finding the Third Proportional to 102,333.38 and 163,979.44

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Solution

The third proportional to 102,333.38 and 163,979.44 is: 262,761.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,333.38 : 163,979.44 = 163,979.44 : x
  2. Step 2: Convert to fraction form
    102,333.38/163,979.44 = 163,979.44/x
  3. Step 3: Cross multiply
    102,333.38x = 163,979.44 × 163,979.44
  4. Step 4: Simplify right side
    102,333.38x = 26,889,255,922.82
  5. Step 5: Solve for x
    x = 26,889,255,922.82/102,333.38
  6. Step 6: Final answer
    x = 262,761.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.