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Finding the Third Proportional to 248,996 and 357,942

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Solution

The third proportional to 248,996 and 357,942 is: 514,556.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,996 : 357,942 = 357,942 : x
  2. Step 2: Convert to fraction form
    248,996/357,942 = 357,942/x
  3. Step 3: Cross multiply
    248,996x = 357,942 × 357,942
  4. Step 4: Simplify right side
    248,996x = 128,122,475,364
  5. Step 5: Solve for x
    x = 128,122,475,364/248,996
  6. Step 6: Final answer
    x = 514,556.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.