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Finding the Third Proportional to 176,543 and 386,096

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Solution

The third proportional to 176,543 and 386,096 is: 844,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,543 : 386,096 = 386,096 : x
  2. Step 2: Convert to fraction form
    176,543/386,096 = 386,096/x
  3. Step 3: Cross multiply
    176,543x = 386,096 × 386,096
  4. Step 4: Simplify right side
    176,543x = 149,070,121,216
  5. Step 5: Solve for x
    x = 149,070,121,216/176,543
  6. Step 6: Final answer
    x = 844,384.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.