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Finding the Third Proportional to 239,454 and 359,181

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Solution

The third proportional to 239,454 and 359,181 is: 538,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,454 : 359,181 = 359,181 : x
  2. Step 2: Convert to fraction form
    239,454/359,181 = 359,181/x
  3. Step 3: Cross multiply
    239,454x = 359,181 × 359,181
  4. Step 4: Simplify right side
    239,454x = 129,010,990,761
  5. Step 5: Solve for x
    x = 129,010,990,761/239,454
  6. Step 6: Final answer
    x = 538,771.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.