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Finding the Third Proportional to 119,321 and 257,325

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Solution

The third proportional to 119,321 and 257,325 is: 554,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,321 : 257,325 = 257,325 : x
  2. Step 2: Convert to fraction form
    119,321/257,325 = 257,325/x
  3. Step 3: Cross multiply
    119,321x = 257,325 × 257,325
  4. Step 4: Simplify right side
    119,321x = 66,216,155,625
  5. Step 5: Solve for x
    x = 66,216,155,625/119,321
  6. Step 6: Final answer
    x = 554,941.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.