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Finding the Third Proportional to 74,838 and 166,287

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Solution

The third proportional to 74,838 and 166,287 is: 369,482.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,838 : 166,287 = 166,287 : x
  2. Step 2: Convert to fraction form
    74,838/166,287 = 166,287/x
  3. Step 3: Cross multiply
    74,838x = 166,287 × 166,287
  4. Step 4: Simplify right side
    74,838x = 27,651,366,369
  5. Step 5: Solve for x
    x = 27,651,366,369/74,838
  6. Step 6: Final answer
    x = 369,482.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.