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Finding the Third Proportional to 118,204.31 and 262,652.63

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Solution

The third proportional to 118,204.31 and 262,652.63 is: 583,620.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,204.31 : 262,652.63 = 262,652.63 : x
  2. Step 2: Convert to fraction form
    118,204.31/262,652.63 = 262,652.63/x
  3. Step 3: Cross multiply
    118,204.31x = 262,652.63 × 262,652.63
  4. Step 4: Simplify right side
    118,204.31x = 68,986,401,419.39
  5. Step 5: Solve for x
    x = 68,986,401,419.39/118,204.31
  6. Step 6: Final answer
    x = 583,620.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.