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Finding the Third Proportional to 112,232.75 and 242,269.25

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Solution

The third proportional to 112,232.75 and 242,269.25 is: 522,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,232.75 : 242,269.25 = 242,269.25 : x
  2. Step 2: Convert to fraction form
    112,232.75/242,269.25 = 242,269.25/x
  3. Step 3: Cross multiply
    112,232.75x = 242,269.25 × 242,269.25
  4. Step 4: Simplify right side
    112,232.75x = 58,694,389,495.56
  5. Step 5: Solve for x
    x = 58,694,389,495.56/112,232.75
  6. Step 6: Final answer
    x = 522,970.25

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Why These Related Problems?

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