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Finding the Third Proportional to 143,932.50 and 201,273

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Solution

The third proportional to 143,932.50 and 201,273 is: 281,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,932.50 : 201,273 = 201,273 : x
  2. Step 2: Convert to fraction form
    143,932.50/201,273 = 201,273/x
  3. Step 3: Cross multiply
    143,932.50x = 201,273 × 201,273
  4. Step 4: Simplify right side
    143,932.50x = 40,510,820,529
  5. Step 5: Solve for x
    x = 40,510,820,529/143,932.50
  6. Step 6: Final answer
    x = 281,457.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.