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Finding the Third Proportional to 155,074.50 and 210,462.05

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Solution

The third proportional to 155,074.50 and 210,462.05 is: 285,632.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,074.50 : 210,462.05 = 210,462.05 : x
  2. Step 2: Convert to fraction form
    155,074.50/210,462.05 = 210,462.05/x
  3. Step 3: Cross multiply
    155,074.50x = 210,462.05 × 210,462.05
  4. Step 4: Simplify right side
    155,074.50x = 44,294,273,174.81
  5. Step 5: Solve for x
    x = 44,294,273,174.81/155,074.50
  6. Step 6: Final answer
    x = 285,632.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.