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Finding the Third Proportional to 153,144 and 229,863

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Solution

The third proportional to 153,144 and 229,863 is: 345,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,144 : 229,863 = 229,863 : x
  2. Step 2: Convert to fraction form
    153,144/229,863 = 229,863/x
  3. Step 3: Cross multiply
    153,144x = 229,863 × 229,863
  4. Step 4: Simplify right side
    153,144x = 52,836,998,769
  5. Step 5: Solve for x
    x = 52,836,998,769/153,144
  6. Step 6: Final answer
    x = 345,015.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.