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Finding the Third Proportional to 238,424 and 360,066

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Solution

The third proportional to 238,424 and 360,066 is: 543,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,424 : 360,066 = 360,066 : x
  2. Step 2: Convert to fraction form
    238,424/360,066 = 360,066/x
  3. Step 3: Cross multiply
    238,424x = 360,066 × 360,066
  4. Step 4: Simplify right side
    238,424x = 129,647,524,356
  5. Step 5: Solve for x
    x = 129,647,524,356/238,424
  6. Step 6: Final answer
    x = 543,768.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.