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Finding the Third Proportional to 168,054 and 260,343

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Solution

The third proportional to 168,054 and 260,343 is: 403,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,054 : 260,343 = 260,343 : x
  2. Step 2: Convert to fraction form
    168,054/260,343 = 260,343/x
  3. Step 3: Cross multiply
    168,054x = 260,343 × 260,343
  4. Step 4: Simplify right side
    168,054x = 67,778,477,649
  5. Step 5: Solve for x
    x = 67,778,477,649/168,054
  6. Step 6: Final answer
    x = 403,313.68

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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.