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Finding the Third Proportional to 193,591 and 290,386.50

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Solution

The third proportional to 193,591 and 290,386.50 is: 435,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,591 : 290,386.50 = 290,386.50 : x
  2. Step 2: Convert to fraction form
    193,591/290,386.50 = 290,386.50/x
  3. Step 3: Cross multiply
    193,591x = 290,386.50 × 290,386.50
  4. Step 4: Simplify right side
    193,591x = 84,324,319,382.25
  5. Step 5: Solve for x
    x = 84,324,319,382.25/193,591
  6. Step 6: Final answer
    x = 435,579.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.