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Finding the Third Proportional to 236,004.50 and 362,966

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Solution

The third proportional to 236,004.50 and 362,966 is: 558,227.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,004.50 : 362,966 = 362,966 : x
  2. Step 2: Convert to fraction form
    236,004.50/362,966 = 362,966/x
  3. Step 3: Cross multiply
    236,004.50x = 362,966 × 362,966
  4. Step 4: Simplify right side
    236,004.50x = 131,744,317,156
  5. Step 5: Solve for x
    x = 131,744,317,156/236,004.50
  6. Step 6: Final answer
    x = 558,227.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.