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Finding the Third Proportional to 268,564.50 and 363,453.75

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Solution

The third proportional to 268,564.50 and 363,453.75 is: 491,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,564.50 : 363,453.75 = 363,453.75 : x
  2. Step 2: Convert to fraction form
    268,564.50/363,453.75 = 363,453.75/x
  3. Step 3: Cross multiply
    268,564.50x = 363,453.75 × 363,453.75
  4. Step 4: Simplify right side
    268,564.50x = 132,098,628,389.06
  5. Step 5: Solve for x
    x = 132,098,628,389.06/268,564.50
  6. Step 6: Final answer
    x = 491,869.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.