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Finding the Third Proportional to 235,173 and 517,167

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Solution

The third proportional to 235,173 and 517,167 is: 1,137,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,173 : 517,167 = 517,167 : x
  2. Step 2: Convert to fraction form
    235,173/517,167 = 517,167/x
  3. Step 3: Cross multiply
    235,173x = 517,167 × 517,167
  4. Step 4: Simplify right side
    235,173x = 267,461,705,889
  5. Step 5: Solve for x
    x = 267,461,705,889/235,173
  6. Step 6: Final answer
    x = 1,137,297.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.