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Finding the Third Proportional to 144,166 and 229,573

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Solution

The third proportional to 144,166 and 229,573 is: 365,576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,166 : 229,573 = 229,573 : x
  2. Step 2: Convert to fraction form
    144,166/229,573 = 229,573/x
  3. Step 3: Cross multiply
    144,166x = 229,573 × 229,573
  4. Step 4: Simplify right side
    144,166x = 52,703,762,329
  5. Step 5: Solve for x
    x = 52,703,762,329/144,166
  6. Step 6: Final answer
    x = 365,576.92

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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.