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Finding the Third Proportional to 176,589 and 234,994.50

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Solution

The third proportional to 176,589 and 234,994.50 is: 312,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,589 : 234,994.50 = 234,994.50 : x
  2. Step 2: Convert to fraction form
    176,589/234,994.50 = 234,994.50/x
  3. Step 3: Cross multiply
    176,589x = 234,994.50 × 234,994.50
  4. Step 4: Simplify right side
    176,589x = 55,222,415,030.25
  5. Step 5: Solve for x
    x = 55,222,415,030.25/176,589
  6. Step 6: Final answer
    x = 312,717.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.