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Finding the Third Proportional to 240,094.50 and 515,181

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Solution

The third proportional to 240,094.50 and 515,181 is: 1,105,445.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,094.50 : 515,181 = 515,181 : x
  2. Step 2: Convert to fraction form
    240,094.50/515,181 = 515,181/x
  3. Step 3: Cross multiply
    240,094.50x = 515,181 × 515,181
  4. Step 4: Simplify right side
    240,094.50x = 265,411,462,761
  5. Step 5: Solve for x
    x = 265,411,462,761/240,094.50
  6. Step 6: Final answer
    x = 1,105,445.83

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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.