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Finding the Third Proportional to 202,092.75 and 336,802.50

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Solution

The third proportional to 202,092.75 and 336,802.50 is: 561,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.75 : 336,802.50 = 336,802.50 : x
  2. Step 2: Convert to fraction form
    202,092.75/336,802.50 = 336,802.50/x
  3. Step 3: Cross multiply
    202,092.75x = 336,802.50 × 336,802.50
  4. Step 4: Simplify right side
    202,092.75x = 113,435,924,006.25
  5. Step 5: Solve for x
    x = 113,435,924,006.25/202,092.75
  6. Step 6: Final answer
    x = 561,306.25

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.