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Finding the Third Proportional to 134,316 and 188,282

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Solution

The third proportional to 134,316 and 188,282 is: 263,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,316 : 188,282 = 188,282 : x
  2. Step 2: Convert to fraction form
    134,316/188,282 = 188,282/x
  3. Step 3: Cross multiply
    134,316x = 188,282 × 188,282
  4. Step 4: Simplify right side
    134,316x = 35,450,111,524
  5. Step 5: Solve for x
    x = 35,450,111,524/134,316
  6. Step 6: Final answer
    x = 263,930.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.