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Finding the Third Proportional to 147,002.50 and 220,094

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Solution

The third proportional to 147,002.50 and 220,094 is: 329,527.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,002.50 : 220,094 = 220,094 : x
  2. Step 2: Convert to fraction form
    147,002.50/220,094 = 220,094/x
  3. Step 3: Cross multiply
    147,002.50x = 220,094 × 220,094
  4. Step 4: Simplify right side
    147,002.50x = 48,441,368,836
  5. Step 5: Solve for x
    x = 48,441,368,836/147,002.50
  6. Step 6: Final answer
    x = 329,527.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.