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Finding the Third Proportional to 155,500.50 and 322,071

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Solution

The third proportional to 155,500.50 and 322,071 is: 667,070.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,500.50 : 322,071 = 322,071 : x
  2. Step 2: Convert to fraction form
    155,500.50/322,071 = 322,071/x
  3. Step 3: Cross multiply
    155,500.50x = 322,071 × 322,071
  4. Step 4: Simplify right side
    155,500.50x = 103,729,729,041
  5. Step 5: Solve for x
    x = 103,729,729,041/155,500.50
  6. Step 6: Final answer
    x = 667,070.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.