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Finding the Third Proportional to 177,640.59 and 230,470.31

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Solution

The third proportional to 177,640.59 and 230,470.31 is: 299,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,640.59 : 230,470.31 = 230,470.31 : x
  2. Step 2: Convert to fraction form
    177,640.59/230,470.31 = 230,470.31/x
  3. Step 3: Cross multiply
    177,640.59x = 230,470.31 × 230,470.31
  4. Step 4: Simplify right side
    177,640.59x = 53,116,564,943.85
  5. Step 5: Solve for x
    x = 53,116,564,943.85/177,640.59
  6. Step 6: Final answer
    x = 299,011.41

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.