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Finding the Third Proportional to 126,638.25 and 200,528.25

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Solution

The third proportional to 126,638.25 and 200,528.25 is: 317,531.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,638.25 : 200,528.25 = 200,528.25 : x
  2. Step 2: Convert to fraction form
    126,638.25/200,528.25 = 200,528.25/x
  3. Step 3: Cross multiply
    126,638.25x = 200,528.25 × 200,528.25
  4. Step 4: Simplify right side
    126,638.25x = 40,211,579,048.06
  5. Step 5: Solve for x
    x = 40,211,579,048.06/126,638.25
  6. Step 6: Final answer
    x = 317,531.07

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.