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Finding the Third Proportional to 112,966 and 243,420

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Solution

The third proportional to 112,966 and 243,420 is: 524,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,966 : 243,420 = 243,420 : x
  2. Step 2: Convert to fraction form
    112,966/243,420 = 243,420/x
  3. Step 3: Cross multiply
    112,966x = 243,420 × 243,420
  4. Step 4: Simplify right side
    112,966x = 59,253,296,400
  5. Step 5: Solve for x
    x = 59,253,296,400/112,966
  6. Step 6: Final answer
    x = 524,523.28

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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.