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Finding the Third Proportional to 167,459 and 361,156

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Solution

The third proportional to 167,459 and 361,156 is: 778,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,459 : 361,156 = 361,156 : x
  2. Step 2: Convert to fraction form
    167,459/361,156 = 361,156/x
  3. Step 3: Cross multiply
    167,459x = 361,156 × 361,156
  4. Step 4: Simplify right side
    167,459x = 130,433,656,336
  5. Step 5: Solve for x
    x = 130,433,656,336/167,459
  6. Step 6: Final answer
    x = 778,899.05

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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.