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Finding the Third Proportional to 238,200.75 and 369,231.75

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Solution

The third proportional to 238,200.75 and 369,231.75 is: 572,341.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,200.75 : 369,231.75 = 369,231.75 : x
  2. Step 2: Convert to fraction form
    238,200.75/369,231.75 = 369,231.75/x
  3. Step 3: Cross multiply
    238,200.75x = 369,231.75 × 369,231.75
  4. Step 4: Simplify right side
    238,200.75x = 136,332,085,208.06
  5. Step 5: Solve for x
    x = 136,332,085,208.06/238,200.75
  6. Step 6: Final answer
    x = 572,341.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.