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Finding the Third Proportional to 168,639.75 and 359,128.13

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Solution

The third proportional to 168,639.75 and 359,128.13 is: 764,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,639.75 : 359,128.13 = 359,128.13 : x
  2. Step 2: Convert to fraction form
    168,639.75/359,128.13 = 359,128.13/x
  3. Step 3: Cross multiply
    168,639.75x = 359,128.13 × 359,128.13
  4. Step 4: Simplify right side
    168,639.75x = 128,973,010,166.02
  5. Step 5: Solve for x
    x = 128,973,010,166.02/168,639.75
  6. Step 6: Final answer
    x = 764,784.16

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