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Finding the Third Proportional to 167,254 and 360,751

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Solution

The third proportional to 167,254 and 360,751 is: 778,105.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,254 : 360,751 = 360,751 : x
  2. Step 2: Convert to fraction form
    167,254/360,751 = 360,751/x
  3. Step 3: Cross multiply
    167,254x = 360,751 × 360,751
  4. Step 4: Simplify right side
    167,254x = 130,141,284,001
  5. Step 5: Solve for x
    x = 130,141,284,001/167,254
  6. Step 6: Final answer
    x = 778,105.66

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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.