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Finding the Third Proportional to 176,540.63 and 388,711.13

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Solution

The third proportional to 176,540.63 and 388,711.13 is: 855,872.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,540.63 : 388,711.13 = 388,711.13 : x
  2. Step 2: Convert to fraction form
    176,540.63/388,711.13 = 388,711.13/x
  3. Step 3: Cross multiply
    176,540.63x = 388,711.13 × 388,711.13
  4. Step 4: Simplify right side
    176,540.63x = 151,096,338,698.77
  5. Step 5: Solve for x
    x = 151,096,338,698.77/176,540.63
  6. Step 6: Final answer
    x = 855,872.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.