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Finding the Third Proportional to 214,580 and 332,440

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Solution

The third proportional to 214,580 and 332,440 is: 515,035.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,580 : 332,440 = 332,440 : x
  2. Step 2: Convert to fraction form
    214,580/332,440 = 332,440/x
  3. Step 3: Cross multiply
    214,580x = 332,440 × 332,440
  4. Step 4: Simplify right side
    214,580x = 110,516,353,600
  5. Step 5: Solve for x
    x = 110,516,353,600/214,580
  6. Step 6: Final answer
    x = 515,035.67

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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.