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Finding the Third Proportional to 149,328 and 328,180.50

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Solution

The third proportional to 149,328 and 328,180.50 is: 721,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,328 : 328,180.50 = 328,180.50 : x
  2. Step 2: Convert to fraction form
    149,328/328,180.50 = 328,180.50/x
  3. Step 3: Cross multiply
    149,328x = 328,180.50 × 328,180.50
  4. Step 4: Simplify right side
    149,328x = 107,702,440,580.25
  5. Step 5: Solve for x
    x = 107,702,440,580.25/149,328
  6. Step 6: Final answer
    x = 721,247.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.