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Finding the Third Proportional to 189,900.75 and 293,949

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Solution

The third proportional to 189,900.75 and 293,949 is: 455,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900.75 : 293,949 = 293,949 : x
  2. Step 2: Convert to fraction form
    189,900.75/293,949 = 293,949/x
  3. Step 3: Cross multiply
    189,900.75x = 293,949 × 293,949
  4. Step 4: Simplify right side
    189,900.75x = 86,406,014,601
  5. Step 5: Solve for x
    x = 86,406,014,601/189,900.75
  6. Step 6: Final answer
    x = 455,006.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.