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Finding the Third Proportional to 180,185 and 253,452

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Solution

The third proportional to 180,185 and 253,452 is: 356,510.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185 : 253,452 = 253,452 : x
  2. Step 2: Convert to fraction form
    180,185/253,452 = 253,452/x
  3. Step 3: Cross multiply
    180,185x = 253,452 × 253,452
  4. Step 4: Simplify right side
    180,185x = 64,237,916,304
  5. Step 5: Solve for x
    x = 64,237,916,304/180,185
  6. Step 6: Final answer
    x = 356,510.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.