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Finding the Third Proportional to 178,446.38 and 386,295.38

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Solution

The third proportional to 178,446.38 and 386,295.38 is: 836,240.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,446.38 : 386,295.38 = 386,295.38 : x
  2. Step 2: Convert to fraction form
    178,446.38/386,295.38 = 386,295.38/x
  3. Step 3: Cross multiply
    178,446.38x = 386,295.38 × 386,295.38
  4. Step 4: Simplify right side
    178,446.38x = 149,224,116,746.39
  5. Step 5: Solve for x
    x = 149,224,116,746.39/178,446.38
  6. Step 6: Final answer
    x = 836,240.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.