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Finding the Third Proportional to 251,302.75 and 541,971.50

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Solution

The third proportional to 251,302.75 and 541,971.50 is: 1,168,841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,302.75 : 541,971.50 = 541,971.50 : x
  2. Step 2: Convert to fraction form
    251,302.75/541,971.50 = 541,971.50/x
  3. Step 3: Cross multiply
    251,302.75x = 541,971.50 × 541,971.50
  4. Step 4: Simplify right side
    251,302.75x = 293,733,106,812.25
  5. Step 5: Solve for x
    x = 293,733,106,812.25/251,302.75
  6. Step 6: Final answer
    x = 1,168,841.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.