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Finding the Third Proportional to 90,281 and 190,444

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Solution

The third proportional to 90,281 and 190,444 is: 401,733.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,281 : 190,444 = 190,444 : x
  2. Step 2: Convert to fraction form
    90,281/190,444 = 190,444/x
  3. Step 3: Cross multiply
    90,281x = 190,444 × 190,444
  4. Step 4: Simplify right side
    90,281x = 36,268,917,136
  5. Step 5: Solve for x
    x = 36,268,917,136/90,281
  6. Step 6: Final answer
    x = 401,733.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.