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Finding the Third Proportional to 215,433.75 and 340,971.75

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Solution

The third proportional to 215,433.75 and 340,971.75 is: 539,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,433.75 : 340,971.75 = 340,971.75 : x
  2. Step 2: Convert to fraction form
    215,433.75/340,971.75 = 340,971.75/x
  3. Step 3: Cross multiply
    215,433.75x = 340,971.75 × 340,971.75
  4. Step 4: Simplify right side
    215,433.75x = 116,261,734,298.06
  5. Step 5: Solve for x
    x = 116,261,734,298.06/215,433.75
  6. Step 6: Final answer
    x = 539,663.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.