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Finding the Third Proportional to 144,162 and 229,567

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Solution

The third proportional to 144,162 and 229,567 is: 365,567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,162 : 229,567 = 229,567 : x
  2. Step 2: Convert to fraction form
    144,162/229,567 = 229,567/x
  3. Step 3: Cross multiply
    144,162x = 229,567 × 229,567
  4. Step 4: Simplify right side
    144,162x = 52,701,007,489
  5. Step 5: Solve for x
    x = 52,701,007,489/144,162
  6. Step 6: Final answer
    x = 365,567.95

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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.