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Finding the Third Proportional to 219,630 and 332,213

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Solution

The third proportional to 219,630 and 332,213 is: 502,506.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,630 : 332,213 = 332,213 : x
  2. Step 2: Convert to fraction form
    219,630/332,213 = 332,213/x
  3. Step 3: Cross multiply
    219,630x = 332,213 × 332,213
  4. Step 4: Simplify right side
    219,630x = 110,365,477,369
  5. Step 5: Solve for x
    x = 110,365,477,369/219,630
  6. Step 6: Final answer
    x = 502,506.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.