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Finding the Third Proportional to 169,035.75 and 364,315.50

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Solution

The third proportional to 169,035.75 and 364,315.50 is: 785,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,035.75 : 364,315.50 = 364,315.50 : x
  2. Step 2: Convert to fraction form
    169,035.75/364,315.50 = 364,315.50/x
  3. Step 3: Cross multiply
    169,035.75x = 364,315.50 × 364,315.50
  4. Step 4: Simplify right side
    169,035.75x = 132,725,783,540.25
  5. Step 5: Solve for x
    x = 132,725,783,540.25/169,035.75
  6. Step 6: Final answer
    x = 785,193.57

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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.