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Finding the Third Proportional to 175,168.50 and 383,053.50

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Solution

The third proportional to 175,168.50 and 383,053.50 is: 837,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,168.50 : 383,053.50 = 383,053.50 : x
  2. Step 2: Convert to fraction form
    175,168.50/383,053.50 = 383,053.50/x
  3. Step 3: Cross multiply
    175,168.50x = 383,053.50 × 383,053.50
  4. Step 4: Simplify right side
    175,168.50x = 146,729,983,862.25
  5. Step 5: Solve for x
    x = 146,729,983,862.25/175,168.50
  6. Step 6: Final answer
    x = 837,650.51

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.