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Finding the Third Proportional to 177,529.50 and 368,163

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Solution

The third proportional to 177,529.50 and 368,163 is: 763,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,529.50 : 368,163 = 368,163 : x
  2. Step 2: Convert to fraction form
    177,529.50/368,163 = 368,163/x
  3. Step 3: Cross multiply
    177,529.50x = 368,163 × 368,163
  4. Step 4: Simplify right side
    177,529.50x = 135,543,994,569
  5. Step 5: Solve for x
    x = 135,543,994,569/177,529.50
  6. Step 6: Final answer
    x = 763,501.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.