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Finding the Third Proportional to 116,502.25 and 254,810.25

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Solution

The third proportional to 116,502.25 and 254,810.25 is: 557,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,502.25 : 254,810.25 = 254,810.25 : x
  2. Step 2: Convert to fraction form
    116,502.25/254,810.25 = 254,810.25/x
  3. Step 3: Cross multiply
    116,502.25x = 254,810.25 × 254,810.25
  4. Step 4: Simplify right side
    116,502.25x = 64,928,263,505.06
  5. Step 5: Solve for x
    x = 64,928,263,505.06/116,502.25
  6. Step 6: Final answer
    x = 557,313.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.