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Finding the Third Proportional to 143,352 and 200,501

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Solution

The third proportional to 143,352 and 200,501 is: 280,433.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,352 : 200,501 = 200,501 : x
  2. Step 2: Convert to fraction form
    143,352/200,501 = 200,501/x
  3. Step 3: Cross multiply
    143,352x = 200,501 × 200,501
  4. Step 4: Simplify right side
    143,352x = 40,200,651,001
  5. Step 5: Solve for x
    x = 40,200,651,001/143,352
  6. Step 6: Final answer
    x = 280,433.14

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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.