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Finding the Third Proportional to 94,844 and 201,370

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Solution

The third proportional to 94,844 and 201,370 is: 427,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,844 : 201,370 = 201,370 : x
  2. Step 2: Convert to fraction form
    94,844/201,370 = 201,370/x
  3. Step 3: Cross multiply
    94,844x = 201,370 × 201,370
  4. Step 4: Simplify right side
    94,844x = 40,549,876,900
  5. Step 5: Solve for x
    x = 40,549,876,900/94,844
  6. Step 6: Final answer
    x = 427,542.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.