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Finding the Third Proportional to 82,230 and 177,574

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Solution

The third proportional to 82,230 and 177,574 is: 383,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,230 : 177,574 = 177,574 : x
  2. Step 2: Convert to fraction form
    82,230/177,574 = 177,574/x
  3. Step 3: Cross multiply
    82,230x = 177,574 × 177,574
  4. Step 4: Simplify right side
    82,230x = 31,532,525,476
  5. Step 5: Solve for x
    x = 31,532,525,476/82,230
  6. Step 6: Final answer
    x = 383,467.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.