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Finding the Third Proportional to 174,709.41 and 382,132.69

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Solution

The third proportional to 174,709.41 and 382,132.69 is: 835,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,709.41 : 382,132.69 = 382,132.69 : x
  2. Step 2: Convert to fraction form
    174,709.41/382,132.69 = 382,132.69/x
  3. Step 3: Cross multiply
    174,709.41x = 382,132.69 × 382,132.69
  4. Step 4: Simplify right side
    174,709.41x = 146,025,390,855.97
  5. Step 5: Solve for x
    x = 146,025,390,855.97/174,709.41
  6. Step 6: Final answer
    x = 835,818.71

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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.