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Finding the Third Proportional to 114,728.20 and 245,220.58

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Solution

The third proportional to 114,728.20 and 245,220.58 is: 524,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,728.20 : 245,220.58 = 245,220.58 : x
  2. Step 2: Convert to fraction form
    114,728.20/245,220.58 = 245,220.58/x
  3. Step 3: Cross multiply
    114,728.20x = 245,220.58 × 245,220.58
  4. Step 4: Simplify right side
    114,728.20x = 60,133,132,175.44
  5. Step 5: Solve for x
    x = 60,133,132,175.44/114,728.20
  6. Step 6: Final answer
    x = 524,135.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.