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Finding the Third Proportional to 90,492 and 210,190

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Solution

The third proportional to 90,492 and 210,190 is: 488,218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,492 : 210,190 = 210,190 : x
  2. Step 2: Convert to fraction form
    90,492/210,190 = 210,190/x
  3. Step 3: Cross multiply
    90,492x = 210,190 × 210,190
  4. Step 4: Simplify right side
    90,492x = 44,179,836,100
  5. Step 5: Solve for x
    x = 44,179,836,100/90,492
  6. Step 6: Final answer
    x = 488,218.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.