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Finding the Third Proportional to 144,180 and 202,203

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Solution

The third proportional to 144,180 and 202,203 is: 283,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,180 : 202,203 = 202,203 : x
  2. Step 2: Convert to fraction form
    144,180/202,203 = 202,203/x
  3. Step 3: Cross multiply
    144,180x = 202,203 × 202,203
  4. Step 4: Simplify right side
    144,180x = 40,886,053,209
  5. Step 5: Solve for x
    x = 40,886,053,209/144,180
  6. Step 6: Final answer
    x = 283,576.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.