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Finding the Third Proportional to 111,576 and 245,328

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Solution

The third proportional to 111,576 and 245,328 is: 539,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,576 : 245,328 = 245,328 : x
  2. Step 2: Convert to fraction form
    111,576/245,328 = 245,328/x
  3. Step 3: Cross multiply
    111,576x = 245,328 × 245,328
  4. Step 4: Simplify right side
    111,576x = 60,185,827,584
  5. Step 5: Solve for x
    x = 60,185,827,584/111,576
  6. Step 6: Final answer
    x = 539,415.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.