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Finding the Third Proportional to 238,190.63 and 510,917.63

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Solution

The third proportional to 238,190.63 and 510,917.63 is: 1,095,915.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,190.63 : 510,917.63 = 510,917.63 : x
  2. Step 2: Convert to fraction form
    238,190.63/510,917.63 = 510,917.63/x
  3. Step 3: Cross multiply
    238,190.63x = 510,917.63 × 510,917.63
  4. Step 4: Simplify right side
    238,190.63x = 261,036,819,535.64
  5. Step 5: Solve for x
    x = 261,036,819,535.64/238,190.63
  6. Step 6: Final answer
    x = 1,095,915.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.