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Finding the Third Proportional to 144,881 and 221,627

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Solution

The third proportional to 144,881 and 221,627 is: 339,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,881 : 221,627 = 221,627 : x
  2. Step 2: Convert to fraction form
    144,881/221,627 = 221,627/x
  3. Step 3: Cross multiply
    144,881x = 221,627 × 221,627
  4. Step 4: Simplify right side
    144,881x = 49,118,527,129
  5. Step 5: Solve for x
    x = 49,118,527,129/144,881
  6. Step 6: Final answer
    x = 339,026.70

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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.