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Finding the Third Proportional to 232,164.56 and 347,179.50

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Solution

The third proportional to 232,164.56 and 347,179.50 is: 519,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,164.56 : 347,179.50 = 347,179.50 : x
  2. Step 2: Convert to fraction form
    232,164.56/347,179.50 = 347,179.50/x
  3. Step 3: Cross multiply
    232,164.56x = 347,179.50 × 347,179.50
  4. Step 4: Simplify right side
    232,164.56x = 120,533,605,220.25
  5. Step 5: Solve for x
    x = 120,533,605,220.25/232,164.56
  6. Step 6: Final answer
    x = 519,173.14

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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.