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Finding the Third Proportional to 251,813.25 and 540,897.75

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Solution

The third proportional to 251,813.25 and 540,897.75 is: 1,161,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,813.25 : 540,897.75 = 540,897.75 : x
  2. Step 2: Convert to fraction form
    251,813.25/540,897.75 = 540,897.75/x
  3. Step 3: Cross multiply
    251,813.25x = 540,897.75 × 540,897.75
  4. Step 4: Simplify right side
    251,813.25x = 292,570,375,955.06
  5. Step 5: Solve for x
    x = 292,570,375,955.06/251,813.25
  6. Step 6: Final answer
    x = 1,161,854.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.