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Finding the Third Proportional to 174,813 and 264,584

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Solution

The third proportional to 174,813 and 264,584 is: 400,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,813 : 264,584 = 264,584 : x
  2. Step 2: Convert to fraction form
    174,813/264,584 = 264,584/x
  3. Step 3: Cross multiply
    174,813x = 264,584 × 264,584
  4. Step 4: Simplify right side
    174,813x = 70,004,693,056
  5. Step 5: Solve for x
    x = 70,004,693,056/174,813
  6. Step 6: Final answer
    x = 400,454.73

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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.