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Finding the Third Proportional to 144,170 and 229,579

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Solution

The third proportional to 144,170 and 229,579 is: 365,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,170 : 229,579 = 229,579 : x
  2. Step 2: Convert to fraction form
    144,170/229,579 = 229,579/x
  3. Step 3: Cross multiply
    144,170x = 229,579 × 229,579
  4. Step 4: Simplify right side
    144,170x = 52,706,517,241
  5. Step 5: Solve for x
    x = 52,706,517,241/144,170
  6. Step 6: Final answer
    x = 365,585.89

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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.