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Finding the Third Proportional to 275,124.75 and 410,148.75

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Solution

The third proportional to 275,124.75 and 410,148.75 is: 611,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,124.75 : 410,148.75 = 410,148.75 : x
  2. Step 2: Convert to fraction form
    275,124.75/410,148.75 = 410,148.75/x
  3. Step 3: Cross multiply
    275,124.75x = 410,148.75 × 410,148.75
  4. Step 4: Simplify right side
    275,124.75x = 168,221,997,126.56
  5. Step 5: Solve for x
    x = 168,221,997,126.56/275,124.75
  6. Step 6: Final answer
    x = 611,438.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.