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Finding the Third Proportional to 171,056 and 364,260

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Solution

The third proportional to 171,056 and 364,260 is: 775,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,056 : 364,260 = 364,260 : x
  2. Step 2: Convert to fraction form
    171,056/364,260 = 364,260/x
  3. Step 3: Cross multiply
    171,056x = 364,260 × 364,260
  4. Step 4: Simplify right side
    171,056x = 132,685,347,600
  5. Step 5: Solve for x
    x = 132,685,347,600/171,056
  6. Step 6: Final answer
    x = 775,683.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.