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Finding the Third Proportional to 141,000 and 212,958

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Solution

The third proportional to 141,000 and 212,958 is: 321,639.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,000 : 212,958 = 212,958 : x
  2. Step 2: Convert to fraction form
    141,000/212,958 = 212,958/x
  3. Step 3: Cross multiply
    141,000x = 212,958 × 212,958
  4. Step 4: Simplify right side
    141,000x = 45,351,109,764
  5. Step 5: Solve for x
    x = 45,351,109,764/141,000
  6. Step 6: Final answer
    x = 321,639.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.