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Finding the Third Proportional to 236,203.50 and 243,007.50

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Solution

The third proportional to 236,203.50 and 243,007.50 is: 250,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,203.50 : 243,007.50 = 243,007.50 : x
  2. Step 2: Convert to fraction form
    236,203.50/243,007.50 = 243,007.50/x
  3. Step 3: Cross multiply
    236,203.50x = 243,007.50 × 243,007.50
  4. Step 4: Simplify right side
    236,203.50x = 59,052,645,056.25
  5. Step 5: Solve for x
    x = 59,052,645,056.25/236,203.50
  6. Step 6: Final answer
    x = 250,007.49

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.