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Finding the Third Proportional to 238,195.50 and 510,927.75

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Solution

The third proportional to 238,195.50 and 510,927.75 is: 1,095,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,195.50 : 510,927.75 = 510,927.75 : x
  2. Step 2: Convert to fraction form
    238,195.50/510,927.75 = 510,927.75/x
  3. Step 3: Cross multiply
    238,195.50x = 510,927.75 × 510,927.75
  4. Step 4: Simplify right side
    238,195.50x = 261,047,165,720.06
  5. Step 5: Solve for x
    x = 261,047,165,720.06/238,195.50
  6. Step 6: Final answer
    x = 1,095,936.60

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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.