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Finding the Third Proportional to 138,184 and 295,968

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Solution

The third proportional to 138,184 and 295,968 is: 633,916.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,184 : 295,968 = 295,968 : x
  2. Step 2: Convert to fraction form
    138,184/295,968 = 295,968/x
  3. Step 3: Cross multiply
    138,184x = 295,968 × 295,968
  4. Step 4: Simplify right side
    138,184x = 87,597,057,024
  5. Step 5: Solve for x
    x = 87,597,057,024/138,184
  6. Step 6: Final answer
    x = 633,916.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.