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Finding the Third Proportional to 197,624 and 295,892

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Solution

The third proportional to 197,624 and 295,892 is: 443,023.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,624 : 295,892 = 295,892 : x
  2. Step 2: Convert to fraction form
    197,624/295,892 = 295,892/x
  3. Step 3: Cross multiply
    197,624x = 295,892 × 295,892
  4. Step 4: Simplify right side
    197,624x = 87,552,075,664
  5. Step 5: Solve for x
    x = 87,552,075,664/197,624
  6. Step 6: Final answer
    x = 443,023.50

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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.