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Finding the Third Proportional to 163,274.31 and 353,795.44

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Solution

The third proportional to 163,274.31 and 353,795.44 is: 766,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,274.31 : 353,795.44 = 353,795.44 : x
  2. Step 2: Convert to fraction form
    163,274.31/353,795.44 = 353,795.44/x
  3. Step 3: Cross multiply
    163,274.31x = 353,795.44 × 353,795.44
  4. Step 4: Simplify right side
    163,274.31x = 125,171,211,595.82
  5. Step 5: Solve for x
    x = 125,171,211,595.82/163,274.31
  6. Step 6: Final answer
    x = 766,631.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.