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Finding the Third Proportional to 169,114.50 and 364,392

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Solution

The third proportional to 169,114.50 and 364,392 is: 785,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,114.50 : 364,392 = 364,392 : x
  2. Step 2: Convert to fraction form
    169,114.50/364,392 = 364,392/x
  3. Step 3: Cross multiply
    169,114.50x = 364,392 × 364,392
  4. Step 4: Simplify right side
    169,114.50x = 132,781,529,664
  5. Step 5: Solve for x
    x = 132,781,529,664/169,114.50
  6. Step 6: Final answer
    x = 785,157.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.