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Finding the Third Proportional to 188,631.75 and 294,429.38

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Solution

The third proportional to 188,631.75 and 294,429.38 is: 459,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,631.75 : 294,429.38 = 294,429.38 : x
  2. Step 2: Convert to fraction form
    188,631.75/294,429.38 = 294,429.38/x
  3. Step 3: Cross multiply
    188,631.75x = 294,429.38 × 294,429.38
  4. Step 4: Simplify right side
    188,631.75x = 86,688,656,862.89
  5. Step 5: Solve for x
    x = 86,688,656,862.89/188,631.75
  6. Step 6: Final answer
    x = 459,565.57

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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.