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Finding the Third Proportional to 163,674.88 and 353,170.63

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Solution

The third proportional to 163,674.88 and 353,170.63 is: 762,056.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674.88 : 353,170.63 = 353,170.63 : x
  2. Step 2: Convert to fraction form
    163,674.88/353,170.63 = 353,170.63/x
  3. Step 3: Cross multiply
    163,674.88x = 353,170.63 × 353,170.63
  4. Step 4: Simplify right side
    163,674.88x = 124,729,490,362.89
  5. Step 5: Solve for x
    x = 124,729,490,362.89/163,674.88
  6. Step 6: Final answer
    x = 762,056.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.