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Finding the Third Proportional to 167,866.50 and 343,486.50

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Solution

The third proportional to 167,866.50 and 343,486.50 is: 702,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,866.50 : 343,486.50 = 343,486.50 : x
  2. Step 2: Convert to fraction form
    167,866.50/343,486.50 = 343,486.50/x
  3. Step 3: Cross multiply
    167,866.50x = 343,486.50 × 343,486.50
  4. Step 4: Simplify right side
    167,866.50x = 117,982,975,682.25
  5. Step 5: Solve for x
    x = 117,982,975,682.25/167,866.50
  6. Step 6: Final answer
    x = 702,838.12

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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.