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Finding the Third Proportional to 169,120.50 and 393,276

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Solution

The third proportional to 169,120.50 and 393,276 is: 914,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,120.50 : 393,276 = 393,276 : x
  2. Step 2: Convert to fraction form
    169,120.50/393,276 = 393,276/x
  3. Step 3: Cross multiply
    169,120.50x = 393,276 × 393,276
  4. Step 4: Simplify right side
    169,120.50x = 154,666,012,176
  5. Step 5: Solve for x
    x = 154,666,012,176/169,120.50
  6. Step 6: Final answer
    x = 914,531.43

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.