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Finding the Third Proportional to 201,890 and 437,219

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Solution

The third proportional to 201,890 and 437,219 is: 946,854.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,890 : 437,219 = 437,219 : x
  2. Step 2: Convert to fraction form
    201,890/437,219 = 437,219/x
  3. Step 3: Cross multiply
    201,890x = 437,219 × 437,219
  4. Step 4: Simplify right side
    201,890x = 191,160,453,961
  5. Step 5: Solve for x
    x = 191,160,453,961/201,890
  6. Step 6: Final answer
    x = 946,854.49

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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.