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Finding the Third Proportional to 220,001 and 343,141.50

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Solution

The third proportional to 220,001 and 343,141.50 is: 535,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,001 : 343,141.50 = 343,141.50 : x
  2. Step 2: Convert to fraction form
    220,001/343,141.50 = 343,141.50/x
  3. Step 3: Cross multiply
    220,001x = 343,141.50 × 343,141.50
  4. Step 4: Simplify right side
    220,001x = 117,746,089,022.25
  5. Step 5: Solve for x
    x = 117,746,089,022.25/220,001
  6. Step 6: Final answer
    x = 535,207.06

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.