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Finding the Third Proportional to 74,395.75 and 165,345.75

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Solution

The third proportional to 74,395.75 and 165,345.75 is: 367,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,395.75 : 165,345.75 = 165,345.75 : x
  2. Step 2: Convert to fraction form
    74,395.75/165,345.75 = 165,345.75/x
  3. Step 3: Cross multiply
    74,395.75x = 165,345.75 × 165,345.75
  4. Step 4: Simplify right side
    74,395.75x = 27,339,217,043.06
  5. Step 5: Solve for x
    x = 27,339,217,043.06/74,395.75
  6. Step 6: Final answer
    x = 367,483.59

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.