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Finding the Third Proportional to 204,814 and 310,083

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Solution

The third proportional to 204,814 and 310,083 is: 469,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,814 : 310,083 = 310,083 : x
  2. Step 2: Convert to fraction form
    204,814/310,083 = 310,083/x
  3. Step 3: Cross multiply
    204,814x = 310,083 × 310,083
  4. Step 4: Simplify right side
    204,814x = 96,151,466,889
  5. Step 5: Solve for x
    x = 96,151,466,889/204,814
  6. Step 6: Final answer
    x = 469,457.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.