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Finding the Third Proportional to 223,605 and 332,365

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Solution

The third proportional to 223,605 and 332,365 is: 494,025.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,605 : 332,365 = 332,365 : x
  2. Step 2: Convert to fraction form
    223,605/332,365 = 332,365/x
  3. Step 3: Cross multiply
    223,605x = 332,365 × 332,365
  4. Step 4: Simplify right side
    223,605x = 110,466,493,225
  5. Step 5: Solve for x
    x = 110,466,493,225/223,605
  6. Step 6: Final answer
    x = 494,025.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.