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Finding the Third Proportional to 265,109 and 401,525

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Solution

The third proportional to 265,109 and 401,525 is: 608,136.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,109 : 401,525 = 401,525 : x
  2. Step 2: Convert to fraction form
    265,109/401,525 = 401,525/x
  3. Step 3: Cross multiply
    265,109x = 401,525 × 401,525
  4. Step 4: Simplify right side
    265,109x = 161,222,325,625
  5. Step 5: Solve for x
    x = 161,222,325,625/265,109
  6. Step 6: Final answer
    x = 608,136.00

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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.