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Finding the Third Proportional to 143,417 and 210,950

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Solution

The third proportional to 143,417 and 210,950 is: 310,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,417 : 210,950 = 210,950 : x
  2. Step 2: Convert to fraction form
    143,417/210,950 = 210,950/x
  3. Step 3: Cross multiply
    143,417x = 210,950 × 210,950
  4. Step 4: Simplify right side
    143,417x = 44,499,902,500
  5. Step 5: Solve for x
    x = 44,499,902,500/143,417
  6. Step 6: Final answer
    x = 310,283.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.