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Finding the Third Proportional to 150,928.88 and 314,259.75

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Solution

The third proportional to 150,928.88 and 314,259.75 is: 654,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,928.88 : 314,259.75 = 314,259.75 : x
  2. Step 2: Convert to fraction form
    150,928.88/314,259.75 = 314,259.75/x
  3. Step 3: Cross multiply
    150,928.88x = 314,259.75 × 314,259.75
  4. Step 4: Simplify right side
    150,928.88x = 98,759,190,470.06
  5. Step 5: Solve for x
    x = 98,759,190,470.06/150,928.88
  6. Step 6: Final answer
    x = 654,342.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.