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Finding the Third Proportional to 164,238 and 354,114

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Solution

The third proportional to 164,238 and 354,114 is: 763,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,238 : 354,114 = 354,114 : x
  2. Step 2: Convert to fraction form
    164,238/354,114 = 354,114/x
  3. Step 3: Cross multiply
    164,238x = 354,114 × 354,114
  4. Step 4: Simplify right side
    164,238x = 125,396,724,996
  5. Step 5: Solve for x
    x = 125,396,724,996/164,238
  6. Step 6: Final answer
    x = 763,506.16

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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.