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Finding the Third Proportional to 111,569 and 245,179

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Solution

The third proportional to 111,569 and 245,179 is: 538,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,569 : 245,179 = 245,179 : x
  2. Step 2: Convert to fraction form
    111,569/245,179 = 245,179/x
  3. Step 3: Cross multiply
    111,569x = 245,179 × 245,179
  4. Step 4: Simplify right side
    111,569x = 60,112,742,041
  5. Step 5: Solve for x
    x = 60,112,742,041/111,569
  6. Step 6: Final answer
    x = 538,794.31

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Why These Related Problems?

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