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Finding the Third Proportional to 155,259 and 332,652

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Solution

The third proportional to 155,259 and 332,652 is: 712,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,259 : 332,652 = 332,652 : x
  2. Step 2: Convert to fraction form
    155,259/332,652 = 332,652/x
  3. Step 3: Cross multiply
    155,259x = 332,652 × 332,652
  4. Step 4: Simplify right side
    155,259x = 110,657,353,104
  5. Step 5: Solve for x
    x = 110,657,353,104/155,259
  6. Step 6: Final answer
    x = 712,727.46

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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.