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Finding the Third Proportional to 114,448.25 and 257,042.25

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Solution

The third proportional to 114,448.25 and 257,042.25 is: 577,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,448.25 : 257,042.25 = 257,042.25 : x
  2. Step 2: Convert to fraction form
    114,448.25/257,042.25 = 257,042.25/x
  3. Step 3: Cross multiply
    114,448.25x = 257,042.25 × 257,042.25
  4. Step 4: Simplify right side
    114,448.25x = 66,070,718,285.06
  5. Step 5: Solve for x
    x = 66,070,718,285.06/114,448.25
  6. Step 6: Final answer
    x = 577,297.76

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.