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Finding the Third Proportional to 213,953.91 and 331,114.08

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Solution

The third proportional to 213,953.91 and 331,114.08 is: 512,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953.91 : 331,114.08 = 331,114.08 : x
  2. Step 2: Convert to fraction form
    213,953.91/331,114.08 = 331,114.08/x
  3. Step 3: Cross multiply
    213,953.91x = 331,114.08 × 331,114.08
  4. Step 4: Simplify right side
    213,953.91x = 109,636,532,732.57
  5. Step 5: Solve for x
    x = 109,636,532,732.57/213,953.91
  6. Step 6: Final answer
    x = 512,430.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.