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Finding the Third Proportional to 256,141 and 411,548

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Solution

The third proportional to 256,141 and 411,548 is: 661,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,141 : 411,548 = 411,548 : x
  2. Step 2: Convert to fraction form
    256,141/411,548 = 411,548/x
  3. Step 3: Cross multiply
    256,141x = 411,548 × 411,548
  4. Step 4: Simplify right side
    256,141x = 169,371,756,304
  5. Step 5: Solve for x
    x = 169,371,756,304/256,141
  6. Step 6: Final answer
    x = 661,244.22

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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.