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Finding the Third Proportional to 142,612 and 226,014

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Solution

The third proportional to 142,612 and 226,014 is: 358,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,612 : 226,014 = 226,014 : x
  2. Step 2: Convert to fraction form
    142,612/226,014 = 226,014/x
  3. Step 3: Cross multiply
    142,612x = 226,014 × 226,014
  4. Step 4: Simplify right side
    142,612x = 51,082,328,196
  5. Step 5: Solve for x
    x = 51,082,328,196/142,612
  6. Step 6: Final answer
    x = 358,190.95

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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.