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Finding the Third Proportional to 206,705.25 and 310,059

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Solution

The third proportional to 206,705.25 and 310,059 is: 465,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,705.25 : 310,059 = 310,059 : x
  2. Step 2: Convert to fraction form
    206,705.25/310,059 = 310,059/x
  3. Step 3: Cross multiply
    206,705.25x = 310,059 × 310,059
  4. Step 4: Simplify right side
    206,705.25x = 96,136,583,481
  5. Step 5: Solve for x
    x = 96,136,583,481/206,705.25
  6. Step 6: Final answer
    x = 465,090.19

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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.