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Finding the Third Proportional to 63,190 and 146,284

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Solution

The third proportional to 63,190 and 146,284 is: 338,645.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,190 : 146,284 = 146,284 : x
  2. Step 2: Convert to fraction form
    63,190/146,284 = 146,284/x
  3. Step 3: Cross multiply
    63,190x = 146,284 × 146,284
  4. Step 4: Simplify right side
    63,190x = 21,399,008,656
  5. Step 5: Solve for x
    x = 21,399,008,656/63,190
  6. Step 6: Final answer
    x = 338,645.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.