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Finding the Third Proportional to 249,105.38 and 396,564.75

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Solution

The third proportional to 249,105.38 and 396,564.75 is: 631,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,105.38 : 396,564.75 = 396,564.75 : x
  2. Step 2: Convert to fraction form
    249,105.38/396,564.75 = 396,564.75/x
  3. Step 3: Cross multiply
    249,105.38x = 396,564.75 × 396,564.75
  4. Step 4: Simplify right side
    249,105.38x = 157,263,600,942.56
  5. Step 5: Solve for x
    x = 157,263,600,942.56/249,105.38
  6. Step 6: Final answer
    x = 631,313.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.