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Finding the Third Proportional to 172,033.50 and 404,760.50

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Solution

The third proportional to 172,033.50 and 404,760.50 is: 952,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,033.50 : 404,760.50 = 404,760.50 : x
  2. Step 2: Convert to fraction form
    172,033.50/404,760.50 = 404,760.50/x
  3. Step 3: Cross multiply
    172,033.50x = 404,760.50 × 404,760.50
  4. Step 4: Simplify right side
    172,033.50x = 163,831,062,360.25
  5. Step 5: Solve for x
    x = 163,831,062,360.25/172,033.50
  6. Step 6: Final answer
    x = 952,320.70

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.