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Finding the Third Proportional to 208,180.76 and 454,007.53

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Solution

The third proportional to 208,180.76 and 454,007.53 is: 990,114.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180.76 : 454,007.53 = 454,007.53 : x
  2. Step 2: Convert to fraction form
    208,180.76/454,007.53 = 454,007.53/x
  3. Step 3: Cross multiply
    208,180.76x = 454,007.53 × 454,007.53
  4. Step 4: Simplify right side
    208,180.76x = 206,122,838,431.72
  5. Step 5: Solve for x
    x = 206,122,838,431.72/208,180.76
  6. Step 6: Final answer
    x = 990,114.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.