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Finding the Third Proportional to 147,669 and 221,455

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Solution

The third proportional to 147,669 and 221,455 is: 332,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,669 : 221,455 = 221,455 : x
  2. Step 2: Convert to fraction form
    147,669/221,455 = 221,455/x
  3. Step 3: Cross multiply
    147,669x = 221,455 × 221,455
  4. Step 4: Simplify right side
    147,669x = 49,042,317,025
  5. Step 5: Solve for x
    x = 49,042,317,025/147,669
  6. Step 6: Final answer
    x = 332,109.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.