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Finding the Third Proportional to 204,775 and 310,024

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Solution

The third proportional to 204,775 and 310,024 is: 469,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,775 : 310,024 = 310,024 : x
  2. Step 2: Convert to fraction form
    204,775/310,024 = 310,024/x
  3. Step 3: Cross multiply
    204,775x = 310,024 × 310,024
  4. Step 4: Simplify right side
    204,775x = 96,114,880,576
  5. Step 5: Solve for x
    x = 96,114,880,576/204,775
  6. Step 6: Final answer
    x = 469,368.24

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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.