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Finding the Third Proportional to 150,902.63 and 314,201.63

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Solution

The third proportional to 150,902.63 and 314,201.63 is: 654,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,902.63 : 314,201.63 = 314,201.63 : x
  2. Step 2: Convert to fraction form
    150,902.63/314,201.63 = 314,201.63/x
  3. Step 3: Cross multiply
    150,902.63x = 314,201.63 × 314,201.63
  4. Step 4: Simplify right side
    150,902.63x = 98,722,661,152.64
  5. Step 5: Solve for x
    x = 98,722,661,152.64/150,902.63
  6. Step 6: Final answer
    x = 654,214.34

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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.