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Finding the Third Proportional to 161,883.50 and 343,492.50

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Solution

The third proportional to 161,883.50 and 343,492.50 is: 728,839.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,883.50 : 343,492.50 = 343,492.50 : x
  2. Step 2: Convert to fraction form
    161,883.50/343,492.50 = 343,492.50/x
  3. Step 3: Cross multiply
    161,883.50x = 343,492.50 × 343,492.50
  4. Step 4: Simplify right side
    161,883.50x = 117,987,097,556.25
  5. Step 5: Solve for x
    x = 117,987,097,556.25/161,883.50
  6. Step 6: Final answer
    x = 728,839.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.