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Finding the Third Proportional to 162,865.13 and 234,954

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Solution

The third proportional to 162,865.13 and 234,954 is: 338,951.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,865.13 : 234,954 = 234,954 : x
  2. Step 2: Convert to fraction form
    162,865.13/234,954 = 234,954/x
  3. Step 3: Cross multiply
    162,865.13x = 234,954 × 234,954
  4. Step 4: Simplify right side
    162,865.13x = 55,203,382,116
  5. Step 5: Solve for x
    x = 55,203,382,116/162,865.13
  6. Step 6: Final answer
    x = 338,951.52

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.