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Finding the Third Proportional to 177,302 and 265,328

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Solution

The third proportional to 177,302 and 265,328 is: 397,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,302 : 265,328 = 265,328 : x
  2. Step 2: Convert to fraction form
    177,302/265,328 = 265,328/x
  3. Step 3: Cross multiply
    177,302x = 265,328 × 265,328
  4. Step 4: Simplify right side
    177,302x = 70,398,947,584
  5. Step 5: Solve for x
    x = 70,398,947,584/177,302
  6. Step 6: Final answer
    x = 397,056.70

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