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Finding the Third Proportional to 174,854 and 265,697

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Solution

The third proportional to 174,854 and 265,697 is: 403,736.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,854 : 265,697 = 265,697 : x
  2. Step 2: Convert to fraction form
    174,854/265,697 = 265,697/x
  3. Step 3: Cross multiply
    174,854x = 265,697 × 265,697
  4. Step 4: Simplify right side
    174,854x = 70,594,895,809
  5. Step 5: Solve for x
    x = 70,594,895,809/174,854
  6. Step 6: Final answer
    x = 403,736.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.