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Finding the Third Proportional to 251,011.41 and 382,402.69

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Solution

The third proportional to 251,011.41 and 382,402.69 is: 582,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,011.41 : 382,402.69 = 382,402.69 : x
  2. Step 2: Convert to fraction form
    251,011.41/382,402.69 = 382,402.69/x
  3. Step 3: Cross multiply
    251,011.41x = 382,402.69 × 382,402.69
  4. Step 4: Simplify right side
    251,011.41x = 146,231,815,407.22
  5. Step 5: Solve for x
    x = 146,231,815,407.22/251,011.41
  6. Step 6: Final answer
    x = 582,570.40

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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.