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Finding the Third Proportional to 201,924 and 312,622

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Solution

The third proportional to 201,924 and 312,622 is: 484,006.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,924 : 312,622 = 312,622 : x
  2. Step 2: Convert to fraction form
    201,924/312,622 = 312,622/x
  3. Step 3: Cross multiply
    201,924x = 312,622 × 312,622
  4. Step 4: Simplify right side
    201,924x = 97,732,514,884
  5. Step 5: Solve for x
    x = 97,732,514,884/201,924
  6. Step 6: Final answer
    x = 484,006.43

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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.