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Finding the Third Proportional to 214,317.75 and 293,888.44

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Solution

The third proportional to 214,317.75 and 293,888.44 is: 403,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,317.75 : 293,888.44 = 293,888.44 : x
  2. Step 2: Convert to fraction form
    214,317.75/293,888.44 = 293,888.44/x
  3. Step 3: Cross multiply
    214,317.75x = 293,888.44 × 293,888.44
  4. Step 4: Simplify right side
    214,317.75x = 86,370,413,696.19
  5. Step 5: Solve for x
    x = 86,370,413,696.19/214,317.75
  6. Step 6: Final answer
    x = 403,001.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.