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Finding the Third Proportional to 214,623.42 and 341,636.06

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Solution

The third proportional to 214,623.42 and 341,636.06 is: 543,813.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,623.42 : 341,636.06 = 341,636.06 : x
  2. Step 2: Convert to fraction form
    214,623.42/341,636.06 = 341,636.06/x
  3. Step 3: Cross multiply
    214,623.42x = 341,636.06 × 341,636.06
  4. Step 4: Simplify right side
    214,623.42x = 116,715,199,200.50
  5. Step 5: Solve for x
    x = 116,715,199,200.50/214,623.42
  6. Step 6: Final answer
    x = 543,813.90

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Why These Related Problems?

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