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Finding the Third Proportional to 273,181.50 and 409,772.25

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Solution

The third proportional to 273,181.50 and 409,772.25 is: 614,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,181.50 : 409,772.25 = 409,772.25 : x
  2. Step 2: Convert to fraction form
    273,181.50/409,772.25 = 409,772.25/x
  3. Step 3: Cross multiply
    273,181.50x = 409,772.25 × 409,772.25
  4. Step 4: Simplify right side
    273,181.50x = 167,913,296,870.06
  5. Step 5: Solve for x
    x = 167,913,296,870.06/273,181.50
  6. Step 6: Final answer
    x = 614,658.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.