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Finding the Third Proportional to 267,558 and 557,148

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Solution

The third proportional to 267,558 and 557,148 is: 1,160,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,558 : 557,148 = 557,148 : x
  2. Step 2: Convert to fraction form
    267,558/557,148 = 557,148/x
  3. Step 3: Cross multiply
    267,558x = 557,148 × 557,148
  4. Step 4: Simplify right side
    267,558x = 310,413,893,904
  5. Step 5: Solve for x
    x = 310,413,893,904/267,558
  6. Step 6: Final answer
    x = 1,160,174.22

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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.