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Finding the Third Proportional to 238,426.88 and 334,204.13

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Solution

The third proportional to 238,426.88 and 334,204.13 is: 468,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,426.88 : 334,204.13 = 334,204.13 : x
  2. Step 2: Convert to fraction form
    238,426.88/334,204.13 = 334,204.13/x
  3. Step 3: Cross multiply
    238,426.88x = 334,204.13 × 334,204.13
  4. Step 4: Simplify right side
    238,426.88x = 111,692,397,167.02
  5. Step 5: Solve for x
    x = 111,692,397,167.02/238,426.88
  6. Step 6: Final answer
    x = 468,455.57

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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.