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Finding the Third Proportional to 102,708 and 226,152

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Solution

The third proportional to 102,708 and 226,152 is: 497,962.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708 : 226,152 = 226,152 : x
  2. Step 2: Convert to fraction form
    102,708/226,152 = 226,152/x
  3. Step 3: Cross multiply
    102,708x = 226,152 × 226,152
  4. Step 4: Simplify right side
    102,708x = 51,144,727,104
  5. Step 5: Solve for x
    x = 51,144,727,104/102,708
  6. Step 6: Final answer
    x = 497,962.45

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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.