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Finding the Third Proportional to 109,490 and 236,068

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Solution

The third proportional to 109,490 and 236,068 is: 508,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,490 : 236,068 = 236,068 : x
  2. Step 2: Convert to fraction form
    109,490/236,068 = 236,068/x
  3. Step 3: Cross multiply
    109,490x = 236,068 × 236,068
  4. Step 4: Simplify right side
    109,490x = 55,728,100,624
  5. Step 5: Solve for x
    x = 55,728,100,624/109,490
  6. Step 6: Final answer
    x = 508,978.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.