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Finding the Third Proportional to 132,009 and 308,031

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Solution

The third proportional to 132,009 and 308,031 is: 718,762.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,009 : 308,031 = 308,031 : x
  2. Step 2: Convert to fraction form
    132,009/308,031 = 308,031/x
  3. Step 3: Cross multiply
    132,009x = 308,031 × 308,031
  4. Step 4: Simplify right side
    132,009x = 94,883,096,961
  5. Step 5: Solve for x
    x = 94,883,096,961/132,009
  6. Step 6: Final answer
    x = 718,762.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.