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Finding the Third Proportional to 167,868 and 343,492.50

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Solution

The third proportional to 167,868 and 343,492.50 is: 702,856.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,868 : 343,492.50 = 343,492.50 : x
  2. Step 2: Convert to fraction form
    167,868/343,492.50 = 343,492.50/x
  3. Step 3: Cross multiply
    167,868x = 343,492.50 × 343,492.50
  4. Step 4: Simplify right side
    167,868x = 117,987,097,556.25
  5. Step 5: Solve for x
    x = 117,987,097,556.25/167,868
  6. Step 6: Final answer
    x = 702,856.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.