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Finding the Third Proportional to 232,924.50 and 342,003.75

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Solution

The third proportional to 232,924.50 and 342,003.75 is: 502,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,924.50 : 342,003.75 = 342,003.75 : x
  2. Step 2: Convert to fraction form
    232,924.50/342,003.75 = 342,003.75/x
  3. Step 3: Cross multiply
    232,924.50x = 342,003.75 × 342,003.75
  4. Step 4: Simplify right side
    232,924.50x = 116,966,565,014.06
  5. Step 5: Solve for x
    x = 116,966,565,014.06/232,924.50
  6. Step 6: Final answer
    x = 502,165.14

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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.