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Finding the Third Proportional to 232,098 and 313,155

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Solution

The third proportional to 232,098 and 313,155 is: 422,520.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,098 : 313,155 = 313,155 : x
  2. Step 2: Convert to fraction form
    232,098/313,155 = 313,155/x
  3. Step 3: Cross multiply
    232,098x = 313,155 × 313,155
  4. Step 4: Simplify right side
    232,098x = 98,066,054,025
  5. Step 5: Solve for x
    x = 98,066,054,025/232,098
  6. Step 6: Final answer
    x = 422,520.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.