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Finding the Third Proportional to 114,298 and 245,604

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Solution

The third proportional to 114,298 and 245,604 is: 527,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,298 : 245,604 = 245,604 : x
  2. Step 2: Convert to fraction form
    114,298/245,604 = 245,604/x
  3. Step 3: Cross multiply
    114,298x = 245,604 × 245,604
  4. Step 4: Simplify right side
    114,298x = 60,321,324,816
  5. Step 5: Solve for x
    x = 60,321,324,816/114,298
  6. Step 6: Final answer
    x = 527,754.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.