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Finding the Third Proportional to 115,207 and 236,152

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Solution

The third proportional to 115,207 and 236,152 is: 484,065.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,207 : 236,152 = 236,152 : x
  2. Step 2: Convert to fraction form
    115,207/236,152 = 236,152/x
  3. Step 3: Cross multiply
    115,207x = 236,152 × 236,152
  4. Step 4: Simplify right side
    115,207x = 55,767,767,104
  5. Step 5: Solve for x
    x = 55,767,767,104/115,207
  6. Step 6: Final answer
    x = 484,065.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.