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Finding the Third Proportional to 153,109.50 and 225,288

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Solution

The third proportional to 153,109.50 and 225,288 is: 331,492.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,109.50 : 225,288 = 225,288 : x
  2. Step 2: Convert to fraction form
    153,109.50/225,288 = 225,288/x
  3. Step 3: Cross multiply
    153,109.50x = 225,288 × 225,288
  4. Step 4: Simplify right side
    153,109.50x = 50,754,682,944
  5. Step 5: Solve for x
    x = 50,754,682,944/153,109.50
  6. Step 6: Final answer
    x = 331,492.71

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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.