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Finding the Third Proportional to 149,940 and 232,076

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Solution

The third proportional to 149,940 and 232,076 is: 359,205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,940 : 232,076 = 232,076 : x
  2. Step 2: Convert to fraction form
    149,940/232,076 = 232,076/x
  3. Step 3: Cross multiply
    149,940x = 232,076 × 232,076
  4. Step 4: Simplify right side
    149,940x = 53,859,269,776
  5. Step 5: Solve for x
    x = 53,859,269,776/149,940
  6. Step 6: Final answer
    x = 359,205.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.