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Finding the Third Proportional to 204,069.38 and 306,887.06

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Solution

The third proportional to 204,069.38 and 306,887.06 is: 461,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,069.38 : 306,887.06 = 306,887.06 : x
  2. Step 2: Convert to fraction form
    204,069.38/306,887.06 = 306,887.06/x
  3. Step 3: Cross multiply
    204,069.38x = 306,887.06 × 306,887.06
  4. Step 4: Simplify right side
    204,069.38x = 94,179,669,129.88
  5. Step 5: Solve for x
    x = 94,179,669,129.88/204,069.38
  6. Step 6: Final answer
    x = 461,508.10

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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.