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Finding the Third Proportional to 249,081.75 and 396,533.25

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Solution

The third proportional to 249,081.75 and 396,533.25 is: 631,273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,081.75 : 396,533.25 = 396,533.25 : x
  2. Step 2: Convert to fraction form
    249,081.75/396,533.25 = 396,533.25/x
  3. Step 3: Cross multiply
    249,081.75x = 396,533.25 × 396,533.25
  4. Step 4: Simplify right side
    249,081.75x = 157,238,618,355.56
  5. Step 5: Solve for x
    x = 157,238,618,355.56/249,081.75
  6. Step 6: Final answer
    x = 631,273.14

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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.