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Finding the Third Proportional to 164,066 and 241,491

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Solution

The third proportional to 164,066 and 241,491 is: 355,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,066 : 241,491 = 241,491 : x
  2. Step 2: Convert to fraction form
    164,066/241,491 = 241,491/x
  3. Step 3: Cross multiply
    164,066x = 241,491 × 241,491
  4. Step 4: Simplify right side
    164,066x = 58,317,903,081
  5. Step 5: Solve for x
    x = 58,317,903,081/164,066
  6. Step 6: Final answer
    x = 355,453.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.