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Finding the Third Proportional to 138,906 and 301,644

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Solution

The third proportional to 138,906 and 301,644 is: 655,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,906 : 301,644 = 301,644 : x
  2. Step 2: Convert to fraction form
    138,906/301,644 = 301,644/x
  3. Step 3: Cross multiply
    138,906x = 301,644 × 301,644
  4. Step 4: Simplify right side
    138,906x = 90,989,102,736
  5. Step 5: Solve for x
    x = 90,989,102,736/138,906
  6. Step 6: Final answer
    x = 655,040.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.