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Finding the Third Proportional to 248,231.25 and 535,818.38

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Solution

The third proportional to 248,231.25 and 535,818.38 is: 1,156,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,231.25 : 535,818.38 = 535,818.38 : x
  2. Step 2: Convert to fraction form
    248,231.25/535,818.38 = 535,818.38/x
  3. Step 3: Cross multiply
    248,231.25x = 535,818.38 × 535,818.38
  4. Step 4: Simplify right side
    248,231.25x = 287,101,330,987.64
  5. Step 5: Solve for x
    x = 287,101,330,987.64/248,231.25
  6. Step 6: Final answer
    x = 1,156,588.19

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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.