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Finding the Third Proportional to 46,466 and 110,405

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Solution

The third proportional to 46,466 and 110,405 is: 262,326.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466 : 110,405 = 110,405 : x
  2. Step 2: Convert to fraction form
    46,466/110,405 = 110,405/x
  3. Step 3: Cross multiply
    46,466x = 110,405 × 110,405
  4. Step 4: Simplify right side
    46,466x = 12,189,264,025
  5. Step 5: Solve for x
    x = 12,189,264,025/46,466
  6. Step 6: Final answer
    x = 262,326.52

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.