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Finding the Third Proportional to 214,622.63 and 341,634.75

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Solution

The third proportional to 214,622.63 and 341,634.75 is: 543,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,622.63 : 341,634.75 = 341,634.75 : x
  2. Step 2: Convert to fraction form
    214,622.63/341,634.75 = 341,634.75/x
  3. Step 3: Cross multiply
    214,622.63x = 341,634.75 × 341,634.75
  4. Step 4: Simplify right side
    214,622.63x = 116,714,302,407.56
  5. Step 5: Solve for x
    x = 116,714,302,407.56/214,622.63
  6. Step 6: Final answer
    x = 543,811.74

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.