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Finding the Third Proportional to 193,258.50 and 278,353.50

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Solution

The third proportional to 193,258.50 and 278,353.50 is: 400,917.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,258.50 : 278,353.50 = 278,353.50 : x
  2. Step 2: Convert to fraction form
    193,258.50/278,353.50 = 278,353.50/x
  3. Step 3: Cross multiply
    193,258.50x = 278,353.50 × 278,353.50
  4. Step 4: Simplify right side
    193,258.50x = 77,480,670,962.25
  5. Step 5: Solve for x
    x = 77,480,670,962.25/193,258.50
  6. Step 6: Final answer
    x = 400,917.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.