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Finding the Third Proportional to 265,176 and 401,616

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Solution

The third proportional to 265,176 and 401,616 is: 608,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,176 : 401,616 = 401,616 : x
  2. Step 2: Convert to fraction form
    265,176/401,616 = 401,616/x
  3. Step 3: Cross multiply
    265,176x = 401,616 × 401,616
  4. Step 4: Simplify right side
    265,176x = 161,295,411,456
  5. Step 5: Solve for x
    x = 161,295,411,456/265,176
  6. Step 6: Final answer
    x = 608,257.95

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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.