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Finding the Third Proportional to 227,938 and 325,464

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Solution

The third proportional to 227,938 and 325,464 is: 464,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,938 : 325,464 = 325,464 : x
  2. Step 2: Convert to fraction form
    227,938/325,464 = 325,464/x
  3. Step 3: Cross multiply
    227,938x = 325,464 × 325,464
  4. Step 4: Simplify right side
    227,938x = 105,926,815,296
  5. Step 5: Solve for x
    x = 105,926,815,296/227,938
  6. Step 6: Final answer
    x = 464,717.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.