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Finding the Third Proportional to 168,802.50 and 261,290.50

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Solution

The third proportional to 168,802.50 and 261,290.50 is: 404,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,802.50 : 261,290.50 = 261,290.50 : x
  2. Step 2: Convert to fraction form
    168,802.50/261,290.50 = 261,290.50/x
  3. Step 3: Cross multiply
    168,802.50x = 261,290.50 × 261,290.50
  4. Step 4: Simplify right side
    168,802.50x = 68,272,725,390.25
  5. Step 5: Solve for x
    x = 68,272,725,390.25/168,802.50
  6. Step 6: Final answer
    x = 404,453.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.