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Finding the Third Proportional to 149,582 and 327,322

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Solution

The third proportional to 149,582 and 327,322 is: 716,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,582 : 327,322 = 327,322 : x
  2. Step 2: Convert to fraction form
    149,582/327,322 = 327,322/x
  3. Step 3: Cross multiply
    149,582x = 327,322 × 327,322
  4. Step 4: Simplify right side
    149,582x = 107,139,691,684
  5. Step 5: Solve for x
    x = 107,139,691,684/149,582
  6. Step 6: Final answer
    x = 716,260.59

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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.