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Finding the Third Proportional to 167,038 and 367,156

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Solution

The third proportional to 167,038 and 367,156 is: 807,023.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,038 : 367,156 = 367,156 : x
  2. Step 2: Convert to fraction form
    167,038/367,156 = 367,156/x
  3. Step 3: Cross multiply
    167,038x = 367,156 × 367,156
  4. Step 4: Simplify right side
    167,038x = 134,803,528,336
  5. Step 5: Solve for x
    x = 134,803,528,336/167,038
  6. Step 6: Final answer
    x = 807,023.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.