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Finding the Third Proportional to 176,696 and 262,644

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Solution

The third proportional to 176,696 and 262,644 is: 390,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,696 : 262,644 = 262,644 : x
  2. Step 2: Convert to fraction form
    176,696/262,644 = 262,644/x
  3. Step 3: Cross multiply
    176,696x = 262,644 × 262,644
  4. Step 4: Simplify right side
    176,696x = 68,981,870,736
  5. Step 5: Solve for x
    x = 68,981,870,736/176,696
  6. Step 6: Final answer
    x = 390,398.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.