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Finding the Third Proportional to 188,631.56 and 294,428.91

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Solution

The third proportional to 188,631.56 and 294,428.91 is: 459,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,631.56 : 294,428.91 = 294,428.91 : x
  2. Step 2: Convert to fraction form
    188,631.56/294,428.91 = 294,428.91/x
  3. Step 3: Cross multiply
    188,631.56x = 294,428.91 × 294,428.91
  4. Step 4: Simplify right side
    188,631.56x = 86,688,380,835.57
  5. Step 5: Solve for x
    x = 86,688,380,835.57/188,631.56
  6. Step 6: Final answer
    x = 459,564.56

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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.