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Finding the Third Proportional to 214,297.50 and 291,883

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Solution

The third proportional to 214,297.50 and 291,883 is: 397,558.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,297.50 : 291,883 = 291,883 : x
  2. Step 2: Convert to fraction form
    214,297.50/291,883 = 291,883/x
  3. Step 3: Cross multiply
    214,297.50x = 291,883 × 291,883
  4. Step 4: Simplify right side
    214,297.50x = 85,195,685,689
  5. Step 5: Solve for x
    x = 85,195,685,689/214,297.50
  6. Step 6: Final answer
    x = 397,558.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.