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Finding the Third Proportional to 149,789 and 326,029

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Solution

The third proportional to 149,789 and 326,029 is: 709,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,789 : 326,029 = 326,029 : x
  2. Step 2: Convert to fraction form
    149,789/326,029 = 326,029/x
  3. Step 3: Cross multiply
    149,789x = 326,029 × 326,029
  4. Step 4: Simplify right side
    149,789x = 106,294,908,841
  5. Step 5: Solve for x
    x = 106,294,908,841/149,789
  6. Step 6: Final answer
    x = 709,630.94

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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.