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Finding the Third Proportional to 147,288.50 and 225,213

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Solution

The third proportional to 147,288.50 and 225,213 is: 344,364.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,288.50 : 225,213 = 225,213 : x
  2. Step 2: Convert to fraction form
    147,288.50/225,213 = 225,213/x
  3. Step 3: Cross multiply
    147,288.50x = 225,213 × 225,213
  4. Step 4: Simplify right side
    147,288.50x = 50,720,895,369
  5. Step 5: Solve for x
    x = 50,720,895,369/147,288.50
  6. Step 6: Final answer
    x = 344,364.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.