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Finding the Third Proportional to 174,129 and 381,066

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Solution

The third proportional to 174,129 and 381,066 is: 833,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,129 : 381,066 = 381,066 : x
  2. Step 2: Convert to fraction form
    174,129/381,066 = 381,066/x
  3. Step 3: Cross multiply
    174,129x = 381,066 × 381,066
  4. Step 4: Simplify right side
    174,129x = 145,211,296,356
  5. Step 5: Solve for x
    x = 145,211,296,356/174,129
  6. Step 6: Final answer
    x = 833,929.42

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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.