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Finding the Third Proportional to 254,805 and 382,270.50

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Solution

The third proportional to 254,805 and 382,270.50 is: 573,500.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,805 : 382,270.50 = 382,270.50 : x
  2. Step 2: Convert to fraction form
    254,805/382,270.50 = 382,270.50/x
  3. Step 3: Cross multiply
    254,805x = 382,270.50 × 382,270.50
  4. Step 4: Simplify right side
    254,805x = 146,130,735,170.25
  5. Step 5: Solve for x
    x = 146,130,735,170.25/254,805
  6. Step 6: Final answer
    x = 573,500.27

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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.