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Finding the Third Proportional to 207,318 and 293,600

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Solution

The third proportional to 207,318 and 293,600 is: 415,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318 : 293,600 = 293,600 : x
  2. Step 2: Convert to fraction form
    207,318/293,600 = 293,600/x
  3. Step 3: Cross multiply
    207,318x = 293,600 × 293,600
  4. Step 4: Simplify right side
    207,318x = 86,200,960,000
  5. Step 5: Solve for x
    x = 86,200,960,000/207,318
  6. Step 6: Final answer
    x = 415,791.01

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.