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Finding the Third Proportional to 112,956 and 243,407

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Solution

The third proportional to 112,956 and 243,407 is: 524,513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,956 : 243,407 = 243,407 : x
  2. Step 2: Convert to fraction form
    112,956/243,407 = 243,407/x
  3. Step 3: Cross multiply
    112,956x = 243,407 × 243,407
  4. Step 4: Simplify right side
    112,956x = 59,246,967,649
  5. Step 5: Solve for x
    x = 59,246,967,649/112,956
  6. Step 6: Final answer
    x = 524,513.68

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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.