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Finding the Third Proportional to 238,426.13 and 334,203

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Solution

The third proportional to 238,426.13 and 334,203 is: 468,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426.13 : 334,203 = 334,203 : x
  2. Step 2: Convert to fraction form
    238,426.13/334,203 = 334,203/x
  3. Step 3: Cross multiply
    238,426.13x = 334,203 × 334,203
  4. Step 4: Simplify right side
    238,426.13x = 111,691,645,209
  5. Step 5: Solve for x
    x = 111,691,645,209/238,426.13
  6. Step 6: Final answer
    x = 468,453.89

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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.