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Finding the Third Proportional to 169,276.50 and 378,657

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Solution

The third proportional to 169,276.50 and 378,657 is: 847,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,276.50 : 378,657 = 378,657 : x
  2. Step 2: Convert to fraction form
    169,276.50/378,657 = 378,657/x
  3. Step 3: Cross multiply
    169,276.50x = 378,657 × 378,657
  4. Step 4: Simplify right side
    169,276.50x = 143,381,123,649
  5. Step 5: Solve for x
    x = 143,381,123,649/169,276.50
  6. Step 6: Final answer
    x = 847,023.21

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.