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Finding the Third Proportional to 238,474.13 and 334,216.13

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Solution

The third proportional to 238,474.13 and 334,216.13 is: 468,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,474.13 : 334,216.13 = 334,216.13 : x
  2. Step 2: Convert to fraction form
    238,474.13/334,216.13 = 334,216.13/x
  3. Step 3: Cross multiply
    238,474.13x = 334,216.13 × 334,216.13
  4. Step 4: Simplify right side
    238,474.13x = 111,700,418,210.02
  5. Step 5: Solve for x
    x = 111,700,418,210.02/238,474.13
  6. Step 6: Final answer
    x = 468,396.39

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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.