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Finding the Third Proportional to 232,311 and 341,662.50

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Solution

The third proportional to 232,311 and 341,662.50 is: 502,487.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,311 : 341,662.50 = 341,662.50 : x
  2. Step 2: Convert to fraction form
    232,311/341,662.50 = 341,662.50/x
  3. Step 3: Cross multiply
    232,311x = 341,662.50 × 341,662.50
  4. Step 4: Simplify right side
    232,311x = 116,733,263,906.25
  5. Step 5: Solve for x
    x = 116,733,263,906.25/232,311
  6. Step 6: Final answer
    x = 502,487.03

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.