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Finding the Third Proportional to 214,531.03 and 334,371.80

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Solution

The third proportional to 214,531.03 and 334,371.80 is: 521,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,531.03 : 334,371.80 = 334,371.80 : x
  2. Step 2: Convert to fraction form
    214,531.03/334,371.80 = 334,371.80/x
  3. Step 3: Cross multiply
    214,531.03x = 334,371.80 × 334,371.80
  4. Step 4: Simplify right side
    214,531.03x = 111,804,498,545.42
  5. Step 5: Solve for x
    x = 111,804,498,545.42/214,531.03
  6. Step 6: Final answer
    x = 521,157.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.