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Finding the Third Proportional to 256,567.50 and 398,236.50

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Solution

The third proportional to 256,567.50 and 398,236.50 is: 618,130.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,567.50 : 398,236.50 = 398,236.50 : x
  2. Step 2: Convert to fraction form
    256,567.50/398,236.50 = 398,236.50/x
  3. Step 3: Cross multiply
    256,567.50x = 398,236.50 × 398,236.50
  4. Step 4: Simplify right side
    256,567.50x = 158,592,309,932.25
  5. Step 5: Solve for x
    x = 158,592,309,932.25/256,567.50
  6. Step 6: Final answer
    x = 618,130.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.