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Finding the Third Proportional to 151,409.25 and 318,512.25

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Solution

The third proportional to 151,409.25 and 318,512.25 is: 670,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,409.25 : 318,512.25 = 318,512.25 : x
  2. Step 2: Convert to fraction form
    151,409.25/318,512.25 = 318,512.25/x
  3. Step 3: Cross multiply
    151,409.25x = 318,512.25 × 318,512.25
  4. Step 4: Simplify right side
    151,409.25x = 101,450,053,400.06
  5. Step 5: Solve for x
    x = 101,450,053,400.06/151,409.25
  6. Step 6: Final answer
    x = 670,038.68

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.