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Finding the Third Proportional to 193,729 and 260,340

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Solution

The third proportional to 193,729 and 260,340 is: 349,854.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,729 : 260,340 = 260,340 : x
  2. Step 2: Convert to fraction form
    193,729/260,340 = 260,340/x
  3. Step 3: Cross multiply
    193,729x = 260,340 × 260,340
  4. Step 4: Simplify right side
    193,729x = 67,776,915,600
  5. Step 5: Solve for x
    x = 67,776,915,600/193,729
  6. Step 6: Final answer
    x = 349,854.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.