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Finding the Third Proportional to 168,194 and 260,391

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Solution

The third proportional to 168,194 and 260,391 is: 403,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,194 : 260,391 = 260,391 : x
  2. Step 2: Convert to fraction form
    168,194/260,391 = 260,391/x
  3. Step 3: Cross multiply
    168,194x = 260,391 × 260,391
  4. Step 4: Simplify right side
    168,194x = 67,803,472,881
  5. Step 5: Solve for x
    x = 67,803,472,881/168,194
  6. Step 6: Final answer
    x = 403,126.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.