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Finding the Third Proportional to 150,052 and 327,986

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Solution

The third proportional to 150,052 and 327,986 is: 716,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052 : 327,986 = 327,986 : x
  2. Step 2: Convert to fraction form
    150,052/327,986 = 327,986/x
  3. Step 3: Cross multiply
    150,052x = 327,986 × 327,986
  4. Step 4: Simplify right side
    150,052x = 107,574,816,196
  5. Step 5: Solve for x
    x = 107,574,816,196/150,052
  6. Step 6: Final answer
    x = 716,916.91

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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.