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Finding the Third Proportional to 167,818 and 355,076

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Solution

The third proportional to 167,818 and 355,076 is: 751,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,818 : 355,076 = 355,076 : x
  2. Step 2: Convert to fraction form
    167,818/355,076 = 355,076/x
  3. Step 3: Cross multiply
    167,818x = 355,076 × 355,076
  4. Step 4: Simplify right side
    167,818x = 126,078,965,776
  5. Step 5: Solve for x
    x = 126,078,965,776/167,818
  6. Step 6: Final answer
    x = 751,283.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.