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Finding the Third Proportional to 189,160 and 415,174

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Solution

The third proportional to 189,160 and 415,174 is: 911,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,160 : 415,174 = 415,174 : x
  2. Step 2: Convert to fraction form
    189,160/415,174 = 415,174/x
  3. Step 3: Cross multiply
    189,160x = 415,174 × 415,174
  4. Step 4: Simplify right side
    189,160x = 172,369,450,276
  5. Step 5: Solve for x
    x = 172,369,450,276/189,160
  6. Step 6: Final answer
    x = 911,236.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.