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Finding the Third Proportional to 183,066 and 427,695

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Solution

The third proportional to 183,066 and 427,695 is: 999,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,066 : 427,695 = 427,695 : x
  2. Step 2: Convert to fraction form
    183,066/427,695 = 427,695/x
  3. Step 3: Cross multiply
    183,066x = 427,695 × 427,695
  4. Step 4: Simplify right side
    183,066x = 182,923,013,025
  5. Step 5: Solve for x
    x = 182,923,013,025/183,066
  6. Step 6: Final answer
    x = 999,218.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.