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Finding the Third Proportional to 221,812.50 and 332,340

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Solution

The third proportional to 221,812.50 and 332,340 is: 497,942.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,812.50 : 332,340 = 332,340 : x
  2. Step 2: Convert to fraction form
    221,812.50/332,340 = 332,340/x
  3. Step 3: Cross multiply
    221,812.50x = 332,340 × 332,340
  4. Step 4: Simplify right side
    221,812.50x = 110,449,875,600
  5. Step 5: Solve for x
    x = 110,449,875,600/221,812.50
  6. Step 6: Final answer
    x = 497,942.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.