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Finding the Third Proportional to 192,911.63 and 423,174.38

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Solution

The third proportional to 192,911.63 and 423,174.38 is: 928,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,911.63 : 423,174.38 = 423,174.38 : x
  2. Step 2: Convert to fraction form
    192,911.63/423,174.38 = 423,174.38/x
  3. Step 3: Cross multiply
    192,911.63x = 423,174.38 × 423,174.38
  4. Step 4: Simplify right side
    192,911.63x = 179,076,551,656.64
  5. Step 5: Solve for x
    x = 179,076,551,656.64/192,911.63
  6. Step 6: Final answer
    x = 928,282.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.