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Finding the Third Proportional to 146,215.50 and 330,261

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Solution

The third proportional to 146,215.50 and 330,261 is: 745,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,215.50 : 330,261 = 330,261 : x
  2. Step 2: Convert to fraction form
    146,215.50/330,261 = 330,261/x
  3. Step 3: Cross multiply
    146,215.50x = 330,261 × 330,261
  4. Step 4: Simplify right side
    146,215.50x = 109,072,328,121
  5. Step 5: Solve for x
    x = 109,072,328,121/146,215.50
  6. Step 6: Final answer
    x = 745,969.67

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.