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Finding the Third Proportional to 206,064 and 325,690.88

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Solution

The third proportional to 206,064 and 325,690.88 is: 514,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,064 : 325,690.88 = 325,690.88 : x
  2. Step 2: Convert to fraction form
    206,064/325,690.88 = 325,690.88/x
  3. Step 3: Cross multiply
    206,064x = 325,690.88 × 325,690.88
  4. Step 4: Simplify right side
    206,064x = 106,074,546,058.27
  5. Step 5: Solve for x
    x = 106,074,546,058.27/206,064
  6. Step 6: Final answer
    x = 514,765.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.