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Finding the Third Proportional to 153,110 and 225,289

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Solution

The third proportional to 153,110 and 225,289 is: 331,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,110 : 225,289 = 225,289 : x
  2. Step 2: Convert to fraction form
    153,110/225,289 = 225,289/x
  3. Step 3: Cross multiply
    153,110x = 225,289 × 225,289
  4. Step 4: Simplify right side
    153,110x = 50,755,133,521
  5. Step 5: Solve for x
    x = 50,755,133,521/153,110
  6. Step 6: Final answer
    x = 331,494.57

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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.