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Finding the Third Proportional to 189,983.25 and 296,476.88

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Solution

The third proportional to 189,983.25 and 296,476.88 is: 462,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,983.25 : 296,476.88 = 296,476.88 : x
  2. Step 2: Convert to fraction form
    189,983.25/296,476.88 = 296,476.88/x
  3. Step 3: Cross multiply
    189,983.25x = 296,476.88 × 296,476.88
  4. Step 4: Simplify right side
    189,983.25x = 87,898,537,409.77
  5. Step 5: Solve for x
    x = 87,898,537,409.77/189,983.25
  6. Step 6: Final answer
    x = 462,664.67

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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.