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Finding the Third Proportional to 149,787 and 326,025

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Solution

The third proportional to 149,787 and 326,025 is: 709,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,787 : 326,025 = 326,025 : x
  2. Step 2: Convert to fraction form
    149,787/326,025 = 326,025/x
  3. Step 3: Cross multiply
    149,787x = 326,025 × 326,025
  4. Step 4: Simplify right side
    149,787x = 106,292,300,625
  5. Step 5: Solve for x
    x = 106,292,300,625/149,787
  6. Step 6: Final answer
    x = 709,623.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.