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Finding the Third Proportional to 143,132 and 210,322

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Solution

The third proportional to 143,132 and 210,322 is: 309,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,132 : 210,322 = 210,322 : x
  2. Step 2: Convert to fraction form
    143,132/210,322 = 210,322/x
  3. Step 3: Cross multiply
    143,132x = 210,322 × 210,322
  4. Step 4: Simplify right side
    143,132x = 44,235,343,684
  5. Step 5: Solve for x
    x = 44,235,343,684/143,132
  6. Step 6: Final answer
    x = 309,052.79

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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.