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Finding the Third Proportional to 207,658.69 and 305,656.03

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Solution

The third proportional to 207,658.69 and 305,656.03 is: 449,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.69 : 305,656.03 = 305,656.03 : x
  2. Step 2: Convert to fraction form
    207,658.69/305,656.03 = 305,656.03/x
  3. Step 3: Cross multiply
    207,658.69x = 305,656.03 × 305,656.03
  4. Step 4: Simplify right side
    207,658.69x = 93,425,609,439.50
  5. Step 5: Solve for x
    x = 93,425,609,439.50/207,658.69
  6. Step 6: Final answer
    x = 449,899.84

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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.