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Finding the Third Proportional to 216,290.25 and 339,278.63

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Solution

The third proportional to 216,290.25 and 339,278.63 is: 532,201.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,290.25 : 339,278.63 = 339,278.63 : x
  2. Step 2: Convert to fraction form
    216,290.25/339,278.63 = 339,278.63/x
  3. Step 3: Cross multiply
    216,290.25x = 339,278.63 × 339,278.63
  4. Step 4: Simplify right side
    216,290.25x = 115,109,985,381.89
  5. Step 5: Solve for x
    x = 115,109,985,381.89/216,290.25
  6. Step 6: Final answer
    x = 532,201.45

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.