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Finding the Third Proportional to 170,010 and 262,329

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Solution

The third proportional to 170,010 and 262,329 is: 404,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,010 : 262,329 = 262,329 : x
  2. Step 2: Convert to fraction form
    170,010/262,329 = 262,329/x
  3. Step 3: Cross multiply
    170,010x = 262,329 × 262,329
  4. Step 4: Simplify right side
    170,010x = 68,816,504,241
  5. Step 5: Solve for x
    x = 68,816,504,241/170,010
  6. Step 6: Final answer
    x = 404,779.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.