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Finding the Third Proportional to 219,628.50 and 332,211

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Solution

The third proportional to 219,628.50 and 332,211 is: 502,503.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,628.50 : 332,211 = 332,211 : x
  2. Step 2: Convert to fraction form
    219,628.50/332,211 = 332,211/x
  3. Step 3: Cross multiply
    219,628.50x = 332,211 × 332,211
  4. Step 4: Simplify right side
    219,628.50x = 110,364,148,521
  5. Step 5: Solve for x
    x = 110,364,148,521/219,628.50
  6. Step 6: Final answer
    x = 502,503.77

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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.