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Finding the Third Proportional to 256,125 and 375,884.25

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Solution

The third proportional to 256,125 and 375,884.25 is: 551,640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,125 : 375,884.25 = 375,884.25 : x
  2. Step 2: Convert to fraction form
    256,125/375,884.25 = 375,884.25/x
  3. Step 3: Cross multiply
    256,125x = 375,884.25 × 375,884.25
  4. Step 4: Simplify right side
    256,125x = 141,288,969,398.06
  5. Step 5: Solve for x
    x = 141,288,969,398.06/256,125
  6. Step 6: Final answer
    x = 551,640.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.