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Finding the Third Proportional to 215,718.75 and 338,415.75

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Solution

The third proportional to 215,718.75 and 338,415.75 is: 530,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,718.75 : 338,415.75 = 338,415.75 : x
  2. Step 2: Convert to fraction form
    215,718.75/338,415.75 = 338,415.75/x
  3. Step 3: Cross multiply
    215,718.75x = 338,415.75 × 338,415.75
  4. Step 4: Simplify right side
    215,718.75x = 114,525,219,848.06
  5. Step 5: Solve for x
    x = 114,525,219,848.06/215,718.75
  6. Step 6: Final answer
    x = 530,900.63

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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.