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Finding the Third Proportional to 223,618 and 332,379

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Solution

The third proportional to 223,618 and 332,379 is: 494,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,618 : 332,379 = 332,379 : x
  2. Step 2: Convert to fraction form
    223,618/332,379 = 332,379/x
  3. Step 3: Cross multiply
    223,618x = 332,379 × 332,379
  4. Step 4: Simplify right side
    223,618x = 110,475,799,641
  5. Step 5: Solve for x
    x = 110,475,799,641/223,618
  6. Step 6: Final answer
    x = 494,038.05

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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.