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Finding the Third Proportional to 256,178 and 411,599

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Solution

The third proportional to 256,178 and 411,599 is: 661,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,178 : 411,599 = 411,599 : x
  2. Step 2: Convert to fraction form
    256,178/411,599 = 411,599/x
  3. Step 3: Cross multiply
    256,178x = 411,599 × 411,599
  4. Step 4: Simplify right side
    256,178x = 169,413,736,801
  5. Step 5: Solve for x
    x = 169,413,736,801/256,178
  6. Step 6: Final answer
    x = 661,312.59

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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.