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Finding the Third Proportional to 138,320 and 295,072

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Solution

The third proportional to 138,320 and 295,072 is: 629,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,320 : 295,072 = 295,072 : x
  2. Step 2: Convert to fraction form
    138,320/295,072 = 295,072/x
  3. Step 3: Cross multiply
    138,320x = 295,072 × 295,072
  4. Step 4: Simplify right side
    138,320x = 87,067,485,184
  5. Step 5: Solve for x
    x = 87,067,485,184/138,320
  6. Step 6: Final answer
    x = 629,464.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.