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Finding the Third Proportional to 233,394.75 and 342,667.13

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Solution

The third proportional to 233,394.75 and 342,667.13 is: 503,099.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,394.75 : 342,667.13 = 342,667.13 : x
  2. Step 2: Convert to fraction form
    233,394.75/342,667.13 = 342,667.13/x
  3. Step 3: Cross multiply
    233,394.75x = 342,667.13 × 342,667.13
  4. Step 4: Simplify right side
    233,394.75x = 117,420,758,555.77
  5. Step 5: Solve for x
    x = 117,420,758,555.77/233,394.75
  6. Step 6: Final answer
    x = 503,099.40

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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.