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Finding the Third Proportional to 167,116 and 348,001

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Solution

The third proportional to 167,116 and 348,001 is: 724,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,116 : 348,001 = 348,001 : x
  2. Step 2: Convert to fraction form
    167,116/348,001 = 348,001/x
  3. Step 3: Cross multiply
    167,116x = 348,001 × 348,001
  4. Step 4: Simplify right side
    167,116x = 121,104,696,001
  5. Step 5: Solve for x
    x = 121,104,696,001/167,116
  6. Step 6: Final answer
    x = 724,674.45

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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.