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Finding the Third Proportional to 188,581.50 and 256,263.75

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Solution

The third proportional to 188,581.50 and 256,263.75 is: 348,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,581.50 : 256,263.75 = 256,263.75 : x
  2. Step 2: Convert to fraction form
    188,581.50/256,263.75 = 256,263.75/x
  3. Step 3: Cross multiply
    188,581.50x = 256,263.75 × 256,263.75
  4. Step 4: Simplify right side
    188,581.50x = 65,671,109,564.06
  5. Step 5: Solve for x
    x = 65,671,109,564.06/188,581.50
  6. Step 6: Final answer
    x = 348,237.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.