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Finding the Third Proportional to 168,012 and 259,952

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Solution

The third proportional to 168,012 and 259,952 is: 402,203.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,012 : 259,952 = 259,952 : x
  2. Step 2: Convert to fraction form
    168,012/259,952 = 259,952/x
  3. Step 3: Cross multiply
    168,012x = 259,952 × 259,952
  4. Step 4: Simplify right side
    168,012x = 67,575,042,304
  5. Step 5: Solve for x
    x = 67,575,042,304/168,012
  6. Step 6: Final answer
    x = 402,203.67

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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.