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Finding the Third Proportional to 117,294 and 257,916

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Solution

The third proportional to 117,294 and 257,916 is: 567,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,294 : 257,916 = 257,916 : x
  2. Step 2: Convert to fraction form
    117,294/257,916 = 257,916/x
  3. Step 3: Cross multiply
    117,294x = 257,916 × 257,916
  4. Step 4: Simplify right side
    117,294x = 66,520,663,056
  5. Step 5: Solve for x
    x = 66,520,663,056/117,294
  6. Step 6: Final answer
    x = 567,127.59

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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.