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Finding the Third Proportional to 205,213.50 and 325,802.25

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Solution

The third proportional to 205,213.50 and 325,802.25 is: 517,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.50 : 325,802.25 = 325,802.25 : x
  2. Step 2: Convert to fraction form
    205,213.50/325,802.25 = 325,802.25/x
  3. Step 3: Cross multiply
    205,213.50x = 325,802.25 × 325,802.25
  4. Step 4: Simplify right side
    205,213.50x = 106,147,106,105.06
  5. Step 5: Solve for x
    x = 106,147,106,105.06/205,213.50
  6. Step 6: Final answer
    x = 517,252.06

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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.