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Finding the Third Proportional to 265,122 and 401,542

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Solution

The third proportional to 265,122 and 401,542 is: 608,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,122 : 401,542 = 401,542 : x
  2. Step 2: Convert to fraction form
    265,122/401,542 = 401,542/x
  3. Step 3: Cross multiply
    265,122x = 401,542 × 401,542
  4. Step 4: Simplify right side
    265,122x = 161,235,977,764
  5. Step 5: Solve for x
    x = 161,235,977,764/265,122
  6. Step 6: Final answer
    x = 608,157.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.