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Finding the Third Proportional to 215,099 and 334,154

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Solution

The third proportional to 215,099 and 334,154 is: 519,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,099 : 334,154 = 334,154 : x
  2. Step 2: Convert to fraction form
    215,099/334,154 = 334,154/x
  3. Step 3: Cross multiply
    215,099x = 334,154 × 334,154
  4. Step 4: Simplify right side
    215,099x = 111,658,895,716
  5. Step 5: Solve for x
    x = 111,658,895,716/215,099
  6. Step 6: Final answer
    x = 519,104.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.