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Finding the Third Proportional to 181,058 and 265,107

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Solution

The third proportional to 181,058 and 265,107 is: 388,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,058 : 265,107 = 265,107 : x
  2. Step 2: Convert to fraction form
    181,058/265,107 = 265,107/x
  3. Step 3: Cross multiply
    181,058x = 265,107 × 265,107
  4. Step 4: Simplify right side
    181,058x = 70,281,721,449
  5. Step 5: Solve for x
    x = 70,281,721,449/181,058
  6. Step 6: Final answer
    x = 388,172.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.