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Finding the Third Proportional to 174,546 and 268,623

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Solution

The third proportional to 174,546 and 268,623 is: 413,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,546 : 268,623 = 268,623 : x
  2. Step 2: Convert to fraction form
    174,546/268,623 = 268,623/x
  3. Step 3: Cross multiply
    174,546x = 268,623 × 268,623
  4. Step 4: Simplify right side
    174,546x = 72,158,316,129
  5. Step 5: Solve for x
    x = 72,158,316,129/174,546
  6. Step 6: Final answer
    x = 413,405.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.