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Finding the Third Proportional to 112,430.25 and 241,537.50

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Solution

The third proportional to 112,430.25 and 241,537.50 is: 518,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,430.25 : 241,537.50 = 241,537.50 : x
  2. Step 2: Convert to fraction form
    112,430.25/241,537.50 = 241,537.50/x
  3. Step 3: Cross multiply
    112,430.25x = 241,537.50 × 241,537.50
  4. Step 4: Simplify right side
    112,430.25x = 58,340,363,906.25
  5. Step 5: Solve for x
    x = 58,340,363,906.25/112,430.25
  6. Step 6: Final answer
    x = 518,902.73

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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.