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Finding the Third Proportional to 174,415 and 261,623

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Solution

The third proportional to 174,415 and 261,623 is: 392,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,415 : 261,623 = 261,623 : x
  2. Step 2: Convert to fraction form
    174,415/261,623 = 261,623/x
  3. Step 3: Cross multiply
    174,415x = 261,623 × 261,623
  4. Step 4: Simplify right side
    174,415x = 68,446,594,129
  5. Step 5: Solve for x
    x = 68,446,594,129/174,415
  6. Step 6: Final answer
    x = 392,435.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.