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Finding the Third Proportional to 172,584 and 369,164

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Solution

The third proportional to 172,584 and 369,164 is: 789,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,584 : 369,164 = 369,164 : x
  2. Step 2: Convert to fraction form
    172,584/369,164 = 369,164/x
  3. Step 3: Cross multiply
    172,584x = 369,164 × 369,164
  4. Step 4: Simplify right side
    172,584x = 136,282,058,896
  5. Step 5: Solve for x
    x = 136,282,058,896/172,584
  6. Step 6: Final answer
    x = 789,656.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.