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Finding the Third Proportional to 265,112 and 401,529

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Solution

The third proportional to 265,112 and 401,529 is: 608,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,112 : 401,529 = 401,529 : x
  2. Step 2: Convert to fraction form
    265,112/401,529 = 401,529/x
  3. Step 3: Cross multiply
    265,112x = 401,529 × 401,529
  4. Step 4: Simplify right side
    265,112x = 161,225,537,841
  5. Step 5: Solve for x
    x = 161,225,537,841/265,112
  6. Step 6: Final answer
    x = 608,141.23

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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.