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Finding the Third Proportional to 256,176 and 411,596

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Solution

The third proportional to 256,176 and 411,596 is: 661,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,176 : 411,596 = 411,596 : x
  2. Step 2: Convert to fraction form
    256,176/411,596 = 411,596/x
  3. Step 3: Cross multiply
    256,176x = 411,596 × 411,596
  4. Step 4: Simplify right side
    256,176x = 169,411,267,216
  5. Step 5: Solve for x
    x = 169,411,267,216/256,176
  6. Step 6: Final answer
    x = 661,308.11

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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.