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Finding the Third Proportional to 127,338.75 and 265,143.38

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Solution

The third proportional to 127,338.75 and 265,143.38 is: 552,078.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,338.75 : 265,143.38 = 265,143.38 : x
  2. Step 2: Convert to fraction form
    127,338.75/265,143.38 = 265,143.38/x
  3. Step 3: Cross multiply
    127,338.75x = 265,143.38 × 265,143.38
  4. Step 4: Simplify right side
    127,338.75x = 70,301,009,306.39
  5. Step 5: Solve for x
    x = 70,301,009,306.39/127,338.75
  6. Step 6: Final answer
    x = 552,078.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.