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Finding the Third Proportional to 206,266.50 and 328,207.50

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Solution

The third proportional to 206,266.50 and 328,207.50 is: 522,237.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,266.50 : 328,207.50 = 328,207.50 : x
  2. Step 2: Convert to fraction form
    206,266.50/328,207.50 = 328,207.50/x
  3. Step 3: Cross multiply
    206,266.50x = 328,207.50 × 328,207.50
  4. Step 4: Simplify right side
    206,266.50x = 107,720,163,056.25
  5. Step 5: Solve for x
    x = 107,720,163,056.25/206,266.50
  6. Step 6: Final answer
    x = 522,237.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.