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Finding the Third Proportional to 167,158 and 348,140

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Solution

The third proportional to 167,158 and 348,140 is: 725,071.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,158 : 348,140 = 348,140 : x
  2. Step 2: Convert to fraction form
    167,158/348,140 = 348,140/x
  3. Step 3: Cross multiply
    167,158x = 348,140 × 348,140
  4. Step 4: Simplify right side
    167,158x = 121,201,459,600
  5. Step 5: Solve for x
    x = 121,201,459,600/167,158
  6. Step 6: Final answer
    x = 725,071.25

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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.