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Finding the Third Proportional to 254,176 and 550,196

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Solution

The third proportional to 254,176 and 550,196 is: 1,190,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,176 : 550,196 = 550,196 : x
  2. Step 2: Convert to fraction form
    254,176/550,196 = 550,196/x
  3. Step 3: Cross multiply
    254,176x = 550,196 × 550,196
  4. Step 4: Simplify right side
    254,176x = 302,715,638,416
  5. Step 5: Solve for x
    x = 302,715,638,416/254,176
  6. Step 6: Final answer
    x = 1,190,968.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.