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Finding the Third Proportional to 117,056 and 259,420

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Solution

The third proportional to 117,056 and 259,420 is: 574,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,056 : 259,420 = 259,420 : x
  2. Step 2: Convert to fraction form
    117,056/259,420 = 259,420/x
  3. Step 3: Cross multiply
    117,056x = 259,420 × 259,420
  4. Step 4: Simplify right side
    117,056x = 67,298,736,400
  5. Step 5: Solve for x
    x = 67,298,736,400/117,056
  6. Step 6: Final answer
    x = 574,927.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.