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Finding the Third Proportional to 189,983.75 and 296,477.75

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Solution

The third proportional to 189,983.75 and 296,477.75 is: 462,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,983.75 : 296,477.75 = 296,477.75 : x
  2. Step 2: Convert to fraction form
    189,983.75/296,477.75 = 296,477.75/x
  3. Step 3: Cross multiply
    189,983.75x = 296,477.75 × 296,477.75
  4. Step 4: Simplify right side
    189,983.75x = 87,899,056,245.06
  5. Step 5: Solve for x
    x = 87,899,056,245.06/189,983.75
  6. Step 6: Final answer
    x = 462,666.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.