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Finding the Third Proportional to 201,894 and 437,226

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Solution

The third proportional to 201,894 and 437,226 is: 946,866.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894 : 437,226 = 437,226 : x
  2. Step 2: Convert to fraction form
    201,894/437,226 = 437,226/x
  3. Step 3: Cross multiply
    201,894x = 437,226 × 437,226
  4. Step 4: Simplify right side
    201,894x = 191,166,575,076
  5. Step 5: Solve for x
    x = 191,166,575,076/201,894
  6. Step 6: Final answer
    x = 946,866.05

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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.