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Finding the Third Proportional to 174,906 and 267,430

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Solution

The third proportional to 174,906 and 267,430 is: 408,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,906 : 267,430 = 267,430 : x
  2. Step 2: Convert to fraction form
    174,906/267,430 = 267,430/x
  3. Step 3: Cross multiply
    174,906x = 267,430 × 267,430
  4. Step 4: Simplify right side
    174,906x = 71,518,804,900
  5. Step 5: Solve for x
    x = 71,518,804,900/174,906
  6. Step 6: Final answer
    x = 408,898.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.