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Finding the Third Proportional to 117,096 and 257,520

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Solution

The third proportional to 117,096 and 257,520 is: 566,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,096 : 257,520 = 257,520 : x
  2. Step 2: Convert to fraction form
    117,096/257,520 = 257,520/x
  3. Step 3: Cross multiply
    117,096x = 257,520 × 257,520
  4. Step 4: Simplify right side
    117,096x = 66,316,550,400
  5. Step 5: Solve for x
    x = 66,316,550,400/117,096
  6. Step 6: Final answer
    x = 566,343.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.