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Finding the Third Proportional to 188,022.94 and 291,265.45

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Solution

The third proportional to 188,022.94 and 291,265.45 is: 451,197.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,022.94 : 291,265.45 = 291,265.45 : x
  2. Step 2: Convert to fraction form
    188,022.94/291,265.45 = 291,265.45/x
  3. Step 3: Cross multiply
    188,022.94x = 291,265.45 × 291,265.45
  4. Step 4: Simplify right side
    188,022.94x = 84,835,564,184.11
  5. Step 5: Solve for x
    x = 84,835,564,184.11/188,022.94
  6. Step 6: Final answer
    x = 451,197.95

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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.