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Finding the Third Proportional to 201,024 and 310,982

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Solution

The third proportional to 201,024 and 310,982 is: 481,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,024 : 310,982 = 310,982 : x
  2. Step 2: Convert to fraction form
    201,024/310,982 = 310,982/x
  3. Step 3: Cross multiply
    201,024x = 310,982 × 310,982
  4. Step 4: Simplify right side
    201,024x = 96,709,804,324
  5. Step 5: Solve for x
    x = 96,709,804,324/201,024
  6. Step 6: Final answer
    x = 481,085.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.