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Finding the Third Proportional to 249,226.50 and 548,295

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Solution

The third proportional to 249,226.50 and 548,295 is: 1,206,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,226.50 : 548,295 = 548,295 : x
  2. Step 2: Convert to fraction form
    249,226.50/548,295 = 548,295/x
  3. Step 3: Cross multiply
    249,226.50x = 548,295 × 548,295
  4. Step 4: Simplify right side
    249,226.50x = 300,627,407,025
  5. Step 5: Solve for x
    x = 300,627,407,025/249,226.50
  6. Step 6: Final answer
    x = 1,206,241.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.