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Finding the Third Proportional to 150,043 and 232,253

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Solution

The third proportional to 150,043 and 232,253 is: 359,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,043 : 232,253 = 232,253 : x
  2. Step 2: Convert to fraction form
    150,043/232,253 = 232,253/x
  3. Step 3: Cross multiply
    150,043x = 232,253 × 232,253
  4. Step 4: Simplify right side
    150,043x = 53,941,456,009
  5. Step 5: Solve for x
    x = 53,941,456,009/150,043
  6. Step 6: Final answer
    x = 359,506.65

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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.