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Finding the Third Proportional to 238,172.91 and 510,882.19

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Solution

The third proportional to 238,172.91 and 510,882.19 is: 1,095,845.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,172.91 : 510,882.19 = 510,882.19 : x
  2. Step 2: Convert to fraction form
    238,172.91/510,882.19 = 510,882.19/x
  3. Step 3: Cross multiply
    238,172.91x = 510,882.19 × 510,882.19
  4. Step 4: Simplify right side
    238,172.91x = 261,000,609,504.79
  5. Step 5: Solve for x
    x = 261,000,609,504.79/238,172.91
  6. Step 6: Final answer
    x = 1,095,845.09

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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.