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Finding the Third Proportional to 142,922 and 226,515

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Solution

The third proportional to 142,922 and 226,515 is: 359,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,922 : 226,515 = 226,515 : x
  2. Step 2: Convert to fraction form
    142,922/226,515 = 226,515/x
  3. Step 3: Cross multiply
    142,922x = 226,515 × 226,515
  4. Step 4: Simplify right side
    142,922x = 51,309,045,225
  5. Step 5: Solve for x
    x = 51,309,045,225/142,922
  6. Step 6: Final answer
    x = 359,000.33

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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.