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Finding the Third Proportional to 144,054 and 225,540

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Solution

The third proportional to 144,054 and 225,540 is: 353,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,054 : 225,540 = 225,540 : x
  2. Step 2: Convert to fraction form
    144,054/225,540 = 225,540/x
  3. Step 3: Cross multiply
    144,054x = 225,540 × 225,540
  4. Step 4: Simplify right side
    144,054x = 50,868,291,600
  5. Step 5: Solve for x
    x = 50,868,291,600/144,054
  6. Step 6: Final answer
    x = 353,119.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.