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Finding the Third Proportional to 153,192 and 229,950

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Solution

The third proportional to 153,192 and 229,950 is: 345,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,192 : 229,950 = 229,950 : x
  2. Step 2: Convert to fraction form
    153,192/229,950 = 229,950/x
  3. Step 3: Cross multiply
    153,192x = 229,950 × 229,950
  4. Step 4: Simplify right side
    153,192x = 52,877,002,500
  5. Step 5: Solve for x
    x = 52,877,002,500/153,192
  6. Step 6: Final answer
    x = 345,168.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.