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Finding the Third Proportional to 112,963 and 244,522

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Solution

The third proportional to 112,963 and 244,522 is: 529,297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,963 : 244,522 = 244,522 : x
  2. Step 2: Convert to fraction form
    112,963/244,522 = 244,522/x
  3. Step 3: Cross multiply
    112,963x = 244,522 × 244,522
  4. Step 4: Simplify right side
    112,963x = 59,791,008,484
  5. Step 5: Solve for x
    x = 59,791,008,484/112,963
  6. Step 6: Final answer
    x = 529,297.28

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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.