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Finding the Third Proportional to 197,620 and 295,887.50

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Solution

The third proportional to 197,620 and 295,887.50 is: 443,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,620 : 295,887.50 = 295,887.50 : x
  2. Step 2: Convert to fraction form
    197,620/295,887.50 = 295,887.50/x
  3. Step 3: Cross multiply
    197,620x = 295,887.50 × 295,887.50
  4. Step 4: Simplify right side
    197,620x = 87,549,412,656.25
  5. Step 5: Solve for x
    x = 87,549,412,656.25/197,620
  6. Step 6: Final answer
    x = 443,018.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.