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Finding the Third Proportional to 229,372.50 and 246,868.50

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Solution

The third proportional to 229,372.50 and 246,868.50 is: 265,699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,372.50 : 246,868.50 = 246,868.50 : x
  2. Step 2: Convert to fraction form
    229,372.50/246,868.50 = 246,868.50/x
  3. Step 3: Cross multiply
    229,372.50x = 246,868.50 × 246,868.50
  4. Step 4: Simplify right side
    229,372.50x = 60,944,056,292.25
  5. Step 5: Solve for x
    x = 60,944,056,292.25/229,372.50
  6. Step 6: Final answer
    x = 265,699.05

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.