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Finding the Third Proportional to 85,924 and 190,280

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Solution

The third proportional to 85,924 and 190,280 is: 421,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,924 : 190,280 = 190,280 : x
  2. Step 2: Convert to fraction form
    85,924/190,280 = 190,280/x
  3. Step 3: Cross multiply
    85,924x = 190,280 × 190,280
  4. Step 4: Simplify right side
    85,924x = 36,206,478,400
  5. Step 5: Solve for x
    x = 36,206,478,400/85,924
  6. Step 6: Final answer
    x = 421,377.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.