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Finding the Third Proportional to 256,173 and 411,591.50

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Solution

The third proportional to 256,173 and 411,591.50 is: 661,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,173 : 411,591.50 = 411,591.50 : x
  2. Step 2: Convert to fraction form
    256,173/411,591.50 = 411,591.50/x
  3. Step 3: Cross multiply
    256,173x = 411,591.50 × 411,591.50
  4. Step 4: Simplify right side
    256,173x = 169,407,562,872.25
  5. Step 5: Solve for x
    x = 169,407,562,872.25/256,173
  6. Step 6: Final answer
    x = 661,301.40

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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.