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Finding the Third Proportional to 216,027 and 290,817

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Solution

The third proportional to 216,027 and 290,817 is: 391,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,027 : 290,817 = 290,817 : x
  2. Step 2: Convert to fraction form
    216,027/290,817 = 290,817/x
  3. Step 3: Cross multiply
    216,027x = 290,817 × 290,817
  4. Step 4: Simplify right side
    216,027x = 84,574,527,489
  5. Step 5: Solve for x
    x = 84,574,527,489/216,027
  6. Step 6: Final answer
    x = 391,499.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.