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Finding the Third Proportional to 214,690.50 and 283,864.50

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Solution

The third proportional to 214,690.50 and 283,864.50 is: 375,326.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,690.50 : 283,864.50 = 283,864.50 : x
  2. Step 2: Convert to fraction form
    214,690.50/283,864.50 = 283,864.50/x
  3. Step 3: Cross multiply
    214,690.50x = 283,864.50 × 283,864.50
  4. Step 4: Simplify right side
    214,690.50x = 80,579,054,360.25
  5. Step 5: Solve for x
    x = 80,579,054,360.25/214,690.50
  6. Step 6: Final answer
    x = 375,326.60

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.