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Finding the Third Proportional to 148,445.13 and 330,014.75

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Solution

The third proportional to 148,445.13 and 330,014.75 is: 733,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,445.13 : 330,014.75 = 330,014.75 : x
  2. Step 2: Convert to fraction form
    148,445.13/330,014.75 = 330,014.75/x
  3. Step 3: Cross multiply
    148,445.13x = 330,014.75 × 330,014.75
  4. Step 4: Simplify right side
    148,445.13x = 108,909,735,217.56
  5. Step 5: Solve for x
    x = 108,909,735,217.56/148,445.13
  6. Step 6: Final answer
    x = 733,670.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.