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Finding the Third Proportional to 144,020 and 225,932

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Solution

The third proportional to 144,020 and 225,932 is: 354,431.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,020 : 225,932 = 225,932 : x
  2. Step 2: Convert to fraction form
    144,020/225,932 = 225,932/x
  3. Step 3: Cross multiply
    144,020x = 225,932 × 225,932
  4. Step 4: Simplify right side
    144,020x = 51,045,268,624
  5. Step 5: Solve for x
    x = 51,045,268,624/144,020
  6. Step 6: Final answer
    x = 354,431.81

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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.