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Finding the Third Proportional to 97,242 and 214,896

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Solution

The third proportional to 97,242 and 214,896 is: 474,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,242 : 214,896 = 214,896 : x
  2. Step 2: Convert to fraction form
    97,242/214,896 = 214,896/x
  3. Step 3: Cross multiply
    97,242x = 214,896 × 214,896
  4. Step 4: Simplify right side
    97,242x = 46,180,290,816
  5. Step 5: Solve for x
    x = 46,180,290,816/97,242
  6. Step 6: Final answer
    x = 474,900.67

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.