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Finding the Third Proportional to 138,058 and 301,964

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Solution

The third proportional to 138,058 and 301,964 is: 660,463.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,058 : 301,964 = 301,964 : x
  2. Step 2: Convert to fraction form
    138,058/301,964 = 301,964/x
  3. Step 3: Cross multiply
    138,058x = 301,964 × 301,964
  4. Step 4: Simplify right side
    138,058x = 91,182,257,296
  5. Step 5: Solve for x
    x = 91,182,257,296/138,058
  6. Step 6: Final answer
    x = 660,463.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.