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Finding the Third Proportional to 171,034 and 264,854

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Solution

The third proportional to 171,034 and 264,854 is: 410,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,034 : 264,854 = 264,854 : x
  2. Step 2: Convert to fraction form
    171,034/264,854 = 264,854/x
  3. Step 3: Cross multiply
    171,034x = 264,854 × 264,854
  4. Step 4: Simplify right side
    171,034x = 70,147,641,316
  5. Step 5: Solve for x
    x = 70,147,641,316/171,034
  6. Step 6: Final answer
    x = 410,138.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.