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Finding the Third Proportional to 123,325.50 and 256,371

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Solution

The third proportional to 123,325.50 and 256,371 is: 532,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,325.50 : 256,371 = 256,371 : x
  2. Step 2: Convert to fraction form
    123,325.50/256,371 = 256,371/x
  3. Step 3: Cross multiply
    123,325.50x = 256,371 × 256,371
  4. Step 4: Simplify right side
    123,325.50x = 65,726,089,641
  5. Step 5: Solve for x
    x = 65,726,089,641/123,325.50
  6. Step 6: Final answer
    x = 532,948.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.