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Finding the Third Proportional to 238,426.75 and 334,203.75

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Solution

The third proportional to 238,426.75 and 334,203.75 is: 468,454.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426.75 : 334,203.75 = 334,203.75 : x
  2. Step 2: Convert to fraction form
    238,426.75/334,203.75 = 334,203.75/x
  3. Step 3: Cross multiply
    238,426.75x = 334,203.75 × 334,203.75
  4. Step 4: Simplify right side
    238,426.75x = 111,692,146,514.06
  5. Step 5: Solve for x
    x = 111,692,146,514.06/238,426.75
  6. Step 6: Final answer
    x = 468,454.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.