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Finding the Third Proportional to 265,182 and 401,625

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Solution

The third proportional to 265,182 and 401,625 is: 608,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,182 : 401,625 = 401,625 : x
  2. Step 2: Convert to fraction form
    265,182/401,625 = 401,625/x
  3. Step 3: Cross multiply
    265,182x = 401,625 × 401,625
  4. Step 4: Simplify right side
    265,182x = 161,302,640,625
  5. Step 5: Solve for x
    x = 161,302,640,625/265,182
  6. Step 6: Final answer
    x = 608,271.45

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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.