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Finding the Third Proportional to 164,483.50 and 341,891.50

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Solution

The third proportional to 164,483.50 and 341,891.50 is: 710,647.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,483.50 : 341,891.50 = 341,891.50 : x
  2. Step 2: Convert to fraction form
    164,483.50/341,891.50 = 341,891.50/x
  3. Step 3: Cross multiply
    164,483.50x = 341,891.50 × 341,891.50
  4. Step 4: Simplify right side
    164,483.50x = 116,889,797,772.25
  5. Step 5: Solve for x
    x = 116,889,797,772.25/164,483.50
  6. Step 6: Final answer
    x = 710,647.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.