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Finding the Third Proportional to 103,491 and 222,534

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Solution

The third proportional to 103,491 and 222,534 is: 478,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,491 : 222,534 = 222,534 : x
  2. Step 2: Convert to fraction form
    103,491/222,534 = 222,534/x
  3. Step 3: Cross multiply
    103,491x = 222,534 × 222,534
  4. Step 4: Simplify right side
    103,491x = 49,521,381,156
  5. Step 5: Solve for x
    x = 49,521,381,156/103,491
  6. Step 6: Final answer
    x = 478,509.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.