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Finding the Third Proportional to 214,863.75 and 455,340.94

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Solution

The third proportional to 214,863.75 and 455,340.94 is: 964,962.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,863.75 : 455,340.94 = 455,340.94 : x
  2. Step 2: Convert to fraction form
    214,863.75/455,340.94 = 455,340.94/x
  3. Step 3: Cross multiply
    214,863.75x = 455,340.94 × 455,340.94
  4. Step 4: Simplify right side
    214,863.75x = 207,335,369,363.38
  5. Step 5: Solve for x
    x = 207,335,369,363.38/214,863.75
  6. Step 6: Final answer
    x = 964,962.07

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.