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Finding the Third Proportional to 178,814 and 386,666

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Solution

The third proportional to 178,814 and 386,666 is: 836,123.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,814 : 386,666 = 386,666 : x
  2. Step 2: Convert to fraction form
    178,814/386,666 = 386,666/x
  3. Step 3: Cross multiply
    178,814x = 386,666 × 386,666
  4. Step 4: Simplify right side
    178,814x = 149,510,595,556
  5. Step 5: Solve for x
    x = 149,510,595,556/178,814
  6. Step 6: Final answer
    x = 836,123.54

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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.