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Finding the Third Proportional to 201,886 and 437,214

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Solution

The third proportional to 201,886 and 437,214 is: 946,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,886 : 437,214 = 437,214 : x
  2. Step 2: Convert to fraction form
    201,886/437,214 = 437,214/x
  3. Step 3: Cross multiply
    201,886x = 437,214 × 437,214
  4. Step 4: Simplify right side
    201,886x = 191,156,081,796
  5. Step 5: Solve for x
    x = 191,156,081,796/201,886
  6. Step 6: Final answer
    x = 946,851.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.