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Finding the Third Proportional to 227,792.25 and 348,583.50

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Solution

The third proportional to 227,792.25 and 348,583.50 is: 533,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,792.25 : 348,583.50 = 348,583.50 : x
  2. Step 2: Convert to fraction form
    227,792.25/348,583.50 = 348,583.50/x
  3. Step 3: Cross multiply
    227,792.25x = 348,583.50 × 348,583.50
  4. Step 4: Simplify right side
    227,792.25x = 121,510,456,472.25
  5. Step 5: Solve for x
    x = 121,510,456,472.25/227,792.25
  6. Step 6: Final answer
    x = 533,426.65

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Why These Related Problems?

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