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Finding the Third Proportional to 167,254 and 361,772

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Solution

The third proportional to 167,254 and 361,772 is: 782,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,254 : 361,772 = 361,772 : x
  2. Step 2: Convert to fraction form
    167,254/361,772 = 361,772/x
  3. Step 3: Cross multiply
    167,254x = 361,772 × 361,772
  4. Step 4: Simplify right side
    167,254x = 130,878,979,984
  5. Step 5: Solve for x
    x = 130,878,979,984/167,254
  6. Step 6: Final answer
    x = 782,516.29

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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.