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Finding the Third Proportional to 163,776.94 and 347,236.88

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Solution

The third proportional to 163,776.94 and 347,236.88 is: 736,205.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,776.94 : 347,236.88 = 347,236.88 : x
  2. Step 2: Convert to fraction form
    163,776.94/347,236.88 = 347,236.88/x
  3. Step 3: Cross multiply
    163,776.94x = 347,236.88 × 347,236.88
  4. Step 4: Simplify right side
    163,776.94x = 120,573,447,359.77
  5. Step 5: Solve for x
    x = 120,573,447,359.77/163,776.94
  6. Step 6: Final answer
    x = 736,205.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.