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Finding the Third Proportional to 204,610 and 310,074

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Solution

The third proportional to 204,610 and 310,074 is: 469,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,610 : 310,074 = 310,074 : x
  2. Step 2: Convert to fraction form
    204,610/310,074 = 310,074/x
  3. Step 3: Cross multiply
    204,610x = 310,074 × 310,074
  4. Step 4: Simplify right side
    204,610x = 96,145,885,476
  5. Step 5: Solve for x
    x = 96,145,885,476/204,610
  6. Step 6: Final answer
    x = 469,898.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.