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Finding the Third Proportional to 232,536.75 and 348,801.75

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Solution

The third proportional to 232,536.75 and 348,801.75 is: 523,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,536.75 : 348,801.75 = 348,801.75 : x
  2. Step 2: Convert to fraction form
    232,536.75/348,801.75 = 348,801.75/x
  3. Step 3: Cross multiply
    232,536.75x = 348,801.75 × 348,801.75
  4. Step 4: Simplify right side
    232,536.75x = 121,662,660,803.06
  5. Step 5: Solve for x
    x = 121,662,660,803.06/232,536.75
  6. Step 6: Final answer
    x = 523,197.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.