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Finding the Third Proportional to 150,254 and 232,536

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Solution

The third proportional to 150,254 and 232,536 is: 359,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,254 : 232,536 = 232,536 : x
  2. Step 2: Convert to fraction form
    150,254/232,536 = 232,536/x
  3. Step 3: Cross multiply
    150,254x = 232,536 × 232,536
  4. Step 4: Simplify right side
    150,254x = 54,072,991,296
  5. Step 5: Solve for x
    x = 54,072,991,296/150,254
  6. Step 6: Final answer
    x = 359,877.22

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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.