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Finding the Third Proportional to 159,823.50 and 242,652

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Solution

The third proportional to 159,823.50 and 242,652 is: 368,406.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,823.50 : 242,652 = 242,652 : x
  2. Step 2: Convert to fraction form
    159,823.50/242,652 = 242,652/x
  3. Step 3: Cross multiply
    159,823.50x = 242,652 × 242,652
  4. Step 4: Simplify right side
    159,823.50x = 58,879,993,104
  5. Step 5: Solve for x
    x = 58,879,993,104/159,823.50
  6. Step 6: Final answer
    x = 368,406.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.