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Finding the Third Proportional to 155,297.25 and 339,673.50

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Solution

The third proportional to 155,297.25 and 339,673.50 is: 742,949.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,297.25 : 339,673.50 = 339,673.50 : x
  2. Step 2: Convert to fraction form
    155,297.25/339,673.50 = 339,673.50/x
  3. Step 3: Cross multiply
    155,297.25x = 339,673.50 × 339,673.50
  4. Step 4: Simplify right side
    155,297.25x = 115,378,086,602.25
  5. Step 5: Solve for x
    x = 115,378,086,602.25/155,297.25
  6. Step 6: Final answer
    x = 742,949.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.