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Finding the Third Proportional to 112,372.50 and 241,269

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Solution

The third proportional to 112,372.50 and 241,269 is: 518,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,372.50 : 241,269 = 241,269 : x
  2. Step 2: Convert to fraction form
    112,372.50/241,269 = 241,269/x
  3. Step 3: Cross multiply
    112,372.50x = 241,269 × 241,269
  4. Step 4: Simplify right side
    112,372.50x = 58,210,730,361
  5. Step 5: Solve for x
    x = 58,210,730,361/112,372.50
  6. Step 6: Final answer
    x = 518,015.80

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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.