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Finding the Third Proportional to 256,959 and 395,266.50

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Solution

The third proportional to 256,959 and 395,266.50 is: 608,017.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,959 : 395,266.50 = 395,266.50 : x
  2. Step 2: Convert to fraction form
    256,959/395,266.50 = 395,266.50/x
  3. Step 3: Cross multiply
    256,959x = 395,266.50 × 395,266.50
  4. Step 4: Simplify right side
    256,959x = 156,235,606,022.25
  5. Step 5: Solve for x
    x = 156,235,606,022.25/256,959
  6. Step 6: Final answer
    x = 608,017.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.