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Finding the Third Proportional to 201,133 and 298,219

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Solution

The third proportional to 201,133 and 298,219 is: 442,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,133 : 298,219 = 298,219 : x
  2. Step 2: Convert to fraction form
    201,133/298,219 = 298,219/x
  3. Step 3: Cross multiply
    201,133x = 298,219 × 298,219
  4. Step 4: Simplify right side
    201,133x = 88,934,571,961
  5. Step 5: Solve for x
    x = 88,934,571,961/201,133
  6. Step 6: Final answer
    x = 442,167.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.