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Finding the Third Proportional to 251,295.38 and 541,954.50

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Solution

The third proportional to 251,295.38 and 541,954.50 is: 1,168,802.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,295.38 : 541,954.50 = 541,954.50 : x
  2. Step 2: Convert to fraction form
    251,295.38/541,954.50 = 541,954.50/x
  3. Step 3: Cross multiply
    251,295.38x = 541,954.50 × 541,954.50
  4. Step 4: Simplify right side
    251,295.38x = 293,714,680,070.25
  5. Step 5: Solve for x
    x = 293,714,680,070.25/251,295.38
  6. Step 6: Final answer
    x = 1,168,802.57

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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.