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Finding the Third Proportional to 150,465 and 326,847

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Solution

The third proportional to 150,465 and 326,847 is: 709,992.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,465 : 326,847 = 326,847 : x
  2. Step 2: Convert to fraction form
    150,465/326,847 = 326,847/x
  3. Step 3: Cross multiply
    150,465x = 326,847 × 326,847
  4. Step 4: Simplify right side
    150,465x = 106,828,961,409
  5. Step 5: Solve for x
    x = 106,828,961,409/150,465
  6. Step 6: Final answer
    x = 709,992.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.