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Finding the Third Proportional to 86,294 and 176,770

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Solution

The third proportional to 86,294 and 176,770 is: 362,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,294 : 176,770 = 176,770 : x
  2. Step 2: Convert to fraction form
    86,294/176,770 = 176,770/x
  3. Step 3: Cross multiply
    86,294x = 176,770 × 176,770
  4. Step 4: Simplify right side
    86,294x = 31,247,632,900
  5. Step 5: Solve for x
    x = 31,247,632,900/86,294
  6. Step 6: Final answer
    x = 362,106.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.