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Finding the Third Proportional to 170,337 and 259,636.50

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Solution

The third proportional to 170,337 and 259,636.50 is: 395,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,337 : 259,636.50 = 259,636.50 : x
  2. Step 2: Convert to fraction form
    170,337/259,636.50 = 259,636.50/x
  3. Step 3: Cross multiply
    170,337x = 259,636.50 × 259,636.50
  4. Step 4: Simplify right side
    170,337x = 67,411,112,132.25
  5. Step 5: Solve for x
    x = 67,411,112,132.25/170,337
  6. Step 6: Final answer
    x = 395,751.43

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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.