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Finding the Third Proportional to 216,514 and 340,120.50

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Solution

The third proportional to 216,514 and 340,120.50 is: 534,293.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,514 : 340,120.50 = 340,120.50 : x
  2. Step 2: Convert to fraction form
    216,514/340,120.50 = 340,120.50/x
  3. Step 3: Cross multiply
    216,514x = 340,120.50 × 340,120.50
  4. Step 4: Simplify right side
    216,514x = 115,681,954,520.25
  5. Step 5: Solve for x
    x = 115,681,954,520.25/216,514
  6. Step 6: Final answer
    x = 534,293.18

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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.