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Finding the Third Proportional to 201,905 and 437,249

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Solution

The third proportional to 201,905 and 437,249 is: 946,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,905 : 437,249 = 437,249 : x
  2. Step 2: Convert to fraction form
    201,905/437,249 = 437,249/x
  3. Step 3: Cross multiply
    201,905x = 437,249 × 437,249
  4. Step 4: Simplify right side
    201,905x = 191,186,688,001
  5. Step 5: Solve for x
    x = 191,186,688,001/201,905
  6. Step 6: Final answer
    x = 946,914.08

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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.