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Finding the Third Proportional to 167,090 and 348,004

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Solution

The third proportional to 167,090 and 348,004 is: 724,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,090 : 348,004 = 348,004 : x
  2. Step 2: Convert to fraction form
    167,090/348,004 = 348,004/x
  3. Step 3: Cross multiply
    167,090x = 348,004 × 348,004
  4. Step 4: Simplify right side
    167,090x = 121,106,784,016
  5. Step 5: Solve for x
    x = 121,106,784,016/167,090
  6. Step 6: Final answer
    x = 724,799.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.