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Finding the Third Proportional to 134,556 and 214,146

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Solution

The third proportional to 134,556 and 214,146 is: 340,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,556 : 214,146 = 214,146 : x
  2. Step 2: Convert to fraction form
    134,556/214,146 = 214,146/x
  3. Step 3: Cross multiply
    134,556x = 214,146 × 214,146
  4. Step 4: Simplify right side
    134,556x = 45,858,509,316
  5. Step 5: Solve for x
    x = 45,858,509,316/134,556
  6. Step 6: Final answer
    x = 340,813.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.