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Finding the Third Proportional to 100,178 and 232,946

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Solution

The third proportional to 100,178 and 232,946 is: 541,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,178 : 232,946 = 232,946 : x
  2. Step 2: Convert to fraction form
    100,178/232,946 = 232,946/x
  3. Step 3: Cross multiply
    100,178x = 232,946 × 232,946
  4. Step 4: Simplify right side
    100,178x = 54,263,838,916
  5. Step 5: Solve for x
    x = 54,263,838,916/100,178
  6. Step 6: Final answer
    x = 541,674.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.