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Finding the Third Proportional to 150,855 and 326,754

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Solution

The third proportional to 150,855 and 326,754 is: 707,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,855 : 326,754 = 326,754 : x
  2. Step 2: Convert to fraction form
    150,855/326,754 = 326,754/x
  3. Step 3: Cross multiply
    150,855x = 326,754 × 326,754
  4. Step 4: Simplify right side
    150,855x = 106,768,176,516
  5. Step 5: Solve for x
    x = 106,768,176,516/150,855
  6. Step 6: Final answer
    x = 707,753.65

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