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Finding the Third Proportional to 144,663 and 221,163

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Solution

The third proportional to 144,663 and 221,163 is: 338,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,663 : 221,163 = 221,163 : x
  2. Step 2: Convert to fraction form
    144,663/221,163 = 221,163/x
  3. Step 3: Cross multiply
    144,663x = 221,163 × 221,163
  4. Step 4: Simplify right side
    144,663x = 48,913,072,569
  5. Step 5: Solve for x
    x = 48,913,072,569/144,663
  6. Step 6: Final answer
    x = 338,117.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.