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Finding the Third Proportional to 232,763.63 and 355,893.75

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Solution

The third proportional to 232,763.63 and 355,893.75 is: 544,158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,763.63 : 355,893.75 = 355,893.75 : x
  2. Step 2: Convert to fraction form
    232,763.63/355,893.75 = 355,893.75/x
  3. Step 3: Cross multiply
    232,763.63x = 355,893.75 × 355,893.75
  4. Step 4: Simplify right side
    232,763.63x = 126,660,361,289.06
  5. Step 5: Solve for x
    x = 126,660,361,289.06/232,763.63
  6. Step 6: Final answer
    x = 544,158.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.