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Finding the Third Proportional to 149,607 and 327,366

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Solution

The third proportional to 149,607 and 327,366 is: 716,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,607 : 327,366 = 327,366 : x
  2. Step 2: Convert to fraction form
    149,607/327,366 = 327,366/x
  3. Step 3: Cross multiply
    149,607x = 327,366 × 327,366
  4. Step 4: Simplify right side
    149,607x = 107,168,497,956
  5. Step 5: Solve for x
    x = 107,168,497,956/149,607
  6. Step 6: Final answer
    x = 716,333.45

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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.