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Finding the Third Proportional to 144,125 and 229,018

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Solution

The third proportional to 144,125 and 229,018 is: 363,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,125 : 229,018 = 229,018 : x
  2. Step 2: Convert to fraction form
    144,125/229,018 = 229,018/x
  3. Step 3: Cross multiply
    144,125x = 229,018 × 229,018
  4. Step 4: Simplify right side
    144,125x = 52,449,244,324
  5. Step 5: Solve for x
    x = 52,449,244,324/144,125
  6. Step 6: Final answer
    x = 363,914.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.