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Finding the Third Proportional to 122,935.50 and 270,258

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Solution

The third proportional to 122,935.50 and 270,258 is: 594,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,935.50 : 270,258 = 270,258 : x
  2. Step 2: Convert to fraction form
    122,935.50/270,258 = 270,258/x
  3. Step 3: Cross multiply
    122,935.50x = 270,258 × 270,258
  4. Step 4: Simplify right side
    122,935.50x = 73,039,386,564
  5. Step 5: Solve for x
    x = 73,039,386,564/122,935.50
  6. Step 6: Final answer
    x = 594,127.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.