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Finding the Third Proportional to 268,283.39 and 375,993.14

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Solution

The third proportional to 268,283.39 and 375,993.14 is: 526,945.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,283.39 : 375,993.14 = 375,993.14 : x
  2. Step 2: Convert to fraction form
    268,283.39/375,993.14 = 375,993.14/x
  3. Step 3: Cross multiply
    268,283.39x = 375,993.14 × 375,993.14
  4. Step 4: Simplify right side
    268,283.39x = 141,370,841,797.05
  5. Step 5: Solve for x
    x = 141,370,841,797.05/268,283.39
  6. Step 6: Final answer
    x = 526,945.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.