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Finding the Third Proportional to 206,704 and 310,056

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Solution

The third proportional to 206,704 and 310,056 is: 465,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,704 : 310,056 = 310,056 : x
  2. Step 2: Convert to fraction form
    206,704/310,056 = 310,056/x
  3. Step 3: Cross multiply
    206,704x = 310,056 × 310,056
  4. Step 4: Simplify right side
    206,704x = 96,134,723,136
  5. Step 5: Solve for x
    x = 96,134,723,136/206,704
  6. Step 6: Final answer
    x = 465,084

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.