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Finding the Third Proportional to 201,930 and 437,294

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Solution

The third proportional to 201,930 and 437,294 is: 946,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,930 : 437,294 = 437,294 : x
  2. Step 2: Convert to fraction form
    201,930/437,294 = 437,294/x
  3. Step 3: Cross multiply
    201,930x = 437,294 × 437,294
  4. Step 4: Simplify right side
    201,930x = 191,226,042,436
  5. Step 5: Solve for x
    x = 191,226,042,436/201,930
  6. Step 6: Final answer
    x = 946,991.74

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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.