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Finding the Third Proportional to 265,186 and 401,631

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Solution

The third proportional to 265,186 and 401,631 is: 608,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,186 : 401,631 = 401,631 : x
  2. Step 2: Convert to fraction form
    265,186/401,631 = 401,631/x
  3. Step 3: Cross multiply
    265,186x = 401,631 × 401,631
  4. Step 4: Simplify right side
    265,186x = 161,307,460,161
  5. Step 5: Solve for x
    x = 161,307,460,161/265,186
  6. Step 6: Final answer
    x = 608,280.45

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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.