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Finding the Third Proportional to 175,168.83 and 383,051.53

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Solution

The third proportional to 175,168.83 and 383,051.53 is: 837,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,168.83 : 383,051.53 = 383,051.53 : x
  2. Step 2: Convert to fraction form
    175,168.83/383,051.53 = 383,051.53/x
  3. Step 3: Cross multiply
    175,168.83x = 383,051.53 × 383,051.53
  4. Step 4: Simplify right side
    175,168.83x = 146,728,475,592.97
  5. Step 5: Solve for x
    x = 146,728,475,592.97/175,168.83
  6. Step 6: Final answer
    x = 837,640.33

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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.