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Finding the Third Proportional to 256,176 and 411,594.75

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Solution

The third proportional to 256,176 and 411,594.75 is: 661,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,176 : 411,594.75 = 411,594.75 : x
  2. Step 2: Convert to fraction form
    256,176/411,594.75 = 411,594.75/x
  3. Step 3: Cross multiply
    256,176x = 411,594.75 × 411,594.75
  4. Step 4: Simplify right side
    256,176x = 169,410,238,227.56
  5. Step 5: Solve for x
    x = 169,410,238,227.56/256,176
  6. Step 6: Final answer
    x = 661,304.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.