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Finding the Third Proportional to 207,654.75 and 305,647.88

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Solution

The third proportional to 207,654.75 and 305,647.88 is: 449,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,654.75 : 305,647.88 = 305,647.88 : x
  2. Step 2: Convert to fraction form
    207,654.75/305,647.88 = 305,647.88/x
  3. Step 3: Cross multiply
    207,654.75x = 305,647.88 × 305,647.88
  4. Step 4: Simplify right side
    207,654.75x = 93,420,623,492.02
  5. Step 5: Solve for x
    x = 93,420,623,492.02/207,654.75
  6. Step 6: Final answer
    x = 449,884.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.