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Finding the Third Proportional to 164,059.50 and 234,604.50

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Solution

The third proportional to 164,059.50 and 234,604.50 is: 335,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,059.50 : 234,604.50 = 234,604.50 : x
  2. Step 2: Convert to fraction form
    164,059.50/234,604.50 = 234,604.50/x
  3. Step 3: Cross multiply
    164,059.50x = 234,604.50 × 234,604.50
  4. Step 4: Simplify right side
    164,059.50x = 55,039,271,420.25
  5. Step 5: Solve for x
    x = 55,039,271,420.25/164,059.50
  6. Step 6: Final answer
    x = 335,483.60

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.