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Finding the Third Proportional to 149,782.50 and 326,014.88

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Solution

The third proportional to 149,782.50 and 326,014.88 is: 709,600.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,782.50 : 326,014.88 = 326,014.88 : x
  2. Step 2: Convert to fraction form
    149,782.50/326,014.88 = 326,014.88/x
  3. Step 3: Cross multiply
    149,782.50x = 326,014.88 × 326,014.88
  4. Step 4: Simplify right side
    149,782.50x = 106,285,698,721.27
  5. Step 5: Solve for x
    x = 106,285,698,721.27/149,782.50
  6. Step 6: Final answer
    x = 709,600.25

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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.