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Finding the Third Proportional to 183,717 and 269,281.50

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Solution

The third proportional to 183,717 and 269,281.50 is: 394,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,717 : 269,281.50 = 269,281.50 : x
  2. Step 2: Convert to fraction form
    183,717/269,281.50 = 269,281.50/x
  3. Step 3: Cross multiply
    183,717x = 269,281.50 × 269,281.50
  4. Step 4: Simplify right side
    183,717x = 72,512,526,242.25
  5. Step 5: Solve for x
    x = 72,512,526,242.25/183,717
  6. Step 6: Final answer
    x = 394,696.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.