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Finding the Third Proportional to 229,983 and 316,692

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Solution

The third proportional to 229,983 and 316,692 is: 436,092.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,983 : 316,692 = 316,692 : x
  2. Step 2: Convert to fraction form
    229,983/316,692 = 316,692/x
  3. Step 3: Cross multiply
    229,983x = 316,692 × 316,692
  4. Step 4: Simplify right side
    229,983x = 100,293,822,864
  5. Step 5: Solve for x
    x = 100,293,822,864/229,983
  6. Step 6: Final answer
    x = 436,092.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.