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Finding the Third Proportional to 248,060 and 394,239

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Solution

The third proportional to 248,060 and 394,239 is: 626,559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,060 : 394,239 = 394,239 : x
  2. Step 2: Convert to fraction form
    248,060/394,239 = 394,239/x
  3. Step 3: Cross multiply
    248,060x = 394,239 × 394,239
  4. Step 4: Simplify right side
    248,060x = 155,424,389,121
  5. Step 5: Solve for x
    x = 155,424,389,121/248,060
  6. Step 6: Final answer
    x = 626,559.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.