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Finding the Third Proportional to 106,250 and 228,896

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Solution

The third proportional to 106,250 and 228,896 is: 493,114.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,250 : 228,896 = 228,896 : x
  2. Step 2: Convert to fraction form
    106,250/228,896 = 228,896/x
  3. Step 3: Cross multiply
    106,250x = 228,896 × 228,896
  4. Step 4: Simplify right side
    106,250x = 52,393,378,816
  5. Step 5: Solve for x
    x = 52,393,378,816/106,250
  6. Step 6: Final answer
    x = 493,114.15

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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.