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Finding the Third Proportional to 189,993.49 and 351,955.36

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Solution

The third proportional to 189,993.49 and 351,955.36 is: 651,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,993.49 : 351,955.36 = 351,955.36 : x
  2. Step 2: Convert to fraction form
    189,993.49/351,955.36 = 351,955.36/x
  3. Step 3: Cross multiply
    189,993.49x = 351,955.36 × 351,955.36
  4. Step 4: Simplify right side
    189,993.49x = 123,872,577,055.02
  5. Step 5: Solve for x
    x = 123,872,577,055.02/189,993.49
  6. Step 6: Final answer
    x = 651,983.27

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.