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Finding the Third Proportional to 251,010.56 and 382,402.13

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Solution

The third proportional to 251,010.56 and 382,402.13 is: 582,570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,010.56 : 382,402.13 = 382,402.13 : x
  2. Step 2: Convert to fraction form
    251,010.56/382,402.13 = 382,402.13/x
  3. Step 3: Cross multiply
    251,010.56x = 382,402.13 × 382,402.13
  4. Step 4: Simplify right side
    251,010.56x = 146,231,385,204.52
  5. Step 5: Solve for x
    x = 146,231,385,204.52/251,010.56
  6. Step 6: Final answer
    x = 582,570.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.