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Finding the Third Proportional to 142,892 and 226,068

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Solution

The third proportional to 142,892 and 226,068 is: 357,659.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,892 : 226,068 = 226,068 : x
  2. Step 2: Convert to fraction form
    142,892/226,068 = 226,068/x
  3. Step 3: Cross multiply
    142,892x = 226,068 × 226,068
  4. Step 4: Simplify right side
    142,892x = 51,106,740,624
  5. Step 5: Solve for x
    x = 51,106,740,624/142,892
  6. Step 6: Final answer
    x = 357,659.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.