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Finding the Third Proportional to 214,898.63 and 290,816.44

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Solution

The third proportional to 214,898.63 and 290,816.44 is: 393,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,898.63 : 290,816.44 = 290,816.44 : x
  2. Step 2: Convert to fraction form
    214,898.63/290,816.44 = 290,816.44/x
  3. Step 3: Cross multiply
    214,898.63x = 290,816.44 × 290,816.44
  4. Step 4: Simplify right side
    214,898.63x = 84,574,200,320.19
  5. Step 5: Solve for x
    x = 84,574,200,320.19/214,898.63
  6. Step 6: Final answer
    x = 393,553.94

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