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Finding the Third Proportional to 155,284 and 332,704

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Solution

The third proportional to 155,284 and 332,704 is: 712,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,284 : 332,704 = 332,704 : x
  2. Step 2: Convert to fraction form
    155,284/332,704 = 332,704/x
  3. Step 3: Cross multiply
    155,284x = 332,704 × 332,704
  4. Step 4: Simplify right side
    155,284x = 110,691,951,616
  5. Step 5: Solve for x
    x = 110,691,951,616/155,284
  6. Step 6: Final answer
    x = 712,835.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.