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Finding the Third Proportional to 145,124.25 and 341,481.75

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Solution

The third proportional to 145,124.25 and 341,481.75 is: 803,516.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,124.25 : 341,481.75 = 341,481.75 : x
  2. Step 2: Convert to fraction form
    145,124.25/341,481.75 = 341,481.75/x
  3. Step 3: Cross multiply
    145,124.25x = 341,481.75 × 341,481.75
  4. Step 4: Simplify right side
    145,124.25x = 116,609,785,583.06
  5. Step 5: Solve for x
    x = 116,609,785,583.06/145,124.25
  6. Step 6: Final answer
    x = 803,516.89

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.