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Finding the Third Proportional to 256,371.75 and 411,895.13

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Solution

The third proportional to 256,371.75 and 411,895.13 is: 661,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,371.75 : 411,895.13 = 411,895.13 : x
  2. Step 2: Convert to fraction form
    256,371.75/411,895.13 = 411,895.13/x
  3. Step 3: Cross multiply
    256,371.75x = 411,895.13 × 411,895.13
  4. Step 4: Simplify right side
    256,371.75x = 169,657,593,998.77
  5. Step 5: Solve for x
    x = 169,657,593,998.77/256,371.75
  6. Step 6: Final answer
    x = 661,764.00

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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.