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Finding the Third Proportional to 248,122 and 354,399

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Solution

The third proportional to 248,122 and 354,399 is: 506,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,122 : 354,399 = 354,399 : x
  2. Step 2: Convert to fraction form
    248,122/354,399 = 354,399/x
  3. Step 3: Cross multiply
    248,122x = 354,399 × 354,399
  4. Step 4: Simplify right side
    248,122x = 125,598,651,201
  5. Step 5: Solve for x
    x = 125,598,651,201/248,122
  6. Step 6: Final answer
    x = 506,197.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.