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Finding the Third Proportional to 232,690 and 355,801

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Solution

The third proportional to 232,690 and 355,801 is: 544,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,690 : 355,801 = 355,801 : x
  2. Step 2: Convert to fraction form
    232,690/355,801 = 355,801/x
  3. Step 3: Cross multiply
    232,690x = 355,801 × 355,801
  4. Step 4: Simplify right side
    232,690x = 126,594,351,601
  5. Step 5: Solve for x
    x = 126,594,351,601/232,690
  6. Step 6: Final answer
    x = 544,047.24

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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.