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Finding the Third Proportional to 103,707 and 223,179

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Solution

The third proportional to 103,707 and 223,179 is: 480,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,707 : 223,179 = 223,179 : x
  2. Step 2: Convert to fraction form
    103,707/223,179 = 223,179/x
  3. Step 3: Cross multiply
    103,707x = 223,179 × 223,179
  4. Step 4: Simplify right side
    103,707x = 49,808,866,041
  5. Step 5: Solve for x
    x = 49,808,866,041/103,707
  6. Step 6: Final answer
    x = 480,284.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.