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Finding the Third Proportional to 115,903.50 and 253,951.50

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Solution

The third proportional to 115,903.50 and 253,951.50 is: 556,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,903.50 : 253,951.50 = 253,951.50 : x
  2. Step 2: Convert to fraction form
    115,903.50/253,951.50 = 253,951.50/x
  3. Step 3: Cross multiply
    115,903.50x = 253,951.50 × 253,951.50
  4. Step 4: Simplify right side
    115,903.50x = 64,491,364,352.25
  5. Step 5: Solve for x
    x = 64,491,364,352.25/115,903.50
  6. Step 6: Final answer
    x = 556,422.92

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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.