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Finding the Third Proportional to 150,426 and 326,787

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Solution

The third proportional to 150,426 and 326,787 is: 709,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,426 : 326,787 = 326,787 : x
  2. Step 2: Convert to fraction form
    150,426/326,787 = 326,787/x
  3. Step 3: Cross multiply
    150,426x = 326,787 × 326,787
  4. Step 4: Simplify right side
    150,426x = 106,789,743,369
  5. Step 5: Solve for x
    x = 106,789,743,369/150,426
  6. Step 6: Final answer
    x = 709,915.46

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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.