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Finding the Third Proportional to 301,194 and 401,537

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Solution

The third proportional to 301,194 and 401,537 is: 535,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194 : 401,537 = 401,537 : x
  2. Step 2: Convert to fraction form
    301,194/401,537 = 401,537/x
  3. Step 3: Cross multiply
    301,194x = 401,537 × 401,537
  4. Step 4: Simplify right side
    301,194x = 161,231,962,369
  5. Step 5: Solve for x
    x = 161,231,962,369/301,194
  6. Step 6: Final answer
    x = 535,309.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.