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Finding the Third Proportional to 102,816 and 223,088

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Solution

The third proportional to 102,816 and 223,088 is: 484,051.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816 : 223,088 = 223,088 : x
  2. Step 2: Convert to fraction form
    102,816/223,088 = 223,088/x
  3. Step 3: Cross multiply
    102,816x = 223,088 × 223,088
  4. Step 4: Simplify right side
    102,816x = 49,768,255,744
  5. Step 5: Solve for x
    x = 49,768,255,744/102,816
  6. Step 6: Final answer
    x = 484,051.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.