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Finding the Third Proportional to 168,640.50 and 359,129

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Solution

The third proportional to 168,640.50 and 359,129 is: 764,784.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,640.50 : 359,129 = 359,129 : x
  2. Step 2: Convert to fraction form
    168,640.50/359,129 = 359,129/x
  3. Step 3: Cross multiply
    168,640.50x = 359,129 × 359,129
  4. Step 4: Simplify right side
    168,640.50x = 128,973,638,641
  5. Step 5: Solve for x
    x = 128,973,638,641/168,640.50
  6. Step 6: Final answer
    x = 764,784.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.