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Finding the Third Proportional to 149,703.75 and 220,172.63

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Solution

The third proportional to 149,703.75 and 220,172.63 is: 323,812.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,703.75 : 220,172.63 = 220,172.63 : x
  2. Step 2: Convert to fraction form
    149,703.75/220,172.63 = 220,172.63/x
  3. Step 3: Cross multiply
    149,703.75x = 220,172.63 × 220,172.63
  4. Step 4: Simplify right side
    149,703.75x = 48,475,984,799.39
  5. Step 5: Solve for x
    x = 48,475,984,799.39/149,703.75
  6. Step 6: Final answer
    x = 323,812.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.