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Finding the Third Proportional to 232,692.75 and 341,646.75

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Solution

The third proportional to 232,692.75 and 341,646.75 is: 501,616.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,692.75 : 341,646.75 = 341,646.75 : x
  2. Step 2: Convert to fraction form
    232,692.75/341,646.75 = 341,646.75/x
  3. Step 3: Cross multiply
    232,692.75x = 341,646.75 × 341,646.75
  4. Step 4: Simplify right side
    232,692.75x = 116,722,501,785.56
  5. Step 5: Solve for x
    x = 116,722,501,785.56/232,692.75
  6. Step 6: Final answer
    x = 501,616.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.