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Finding the Third Proportional to 229,671 and 335,434.50

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Solution

The third proportional to 229,671 and 335,434.50 is: 489,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,671 : 335,434.50 = 335,434.50 : x
  2. Step 2: Convert to fraction form
    229,671/335,434.50 = 335,434.50/x
  3. Step 3: Cross multiply
    229,671x = 335,434.50 × 335,434.50
  4. Step 4: Simplify right side
    229,671x = 112,516,303,790.25
  5. Step 5: Solve for x
    x = 112,516,303,790.25/229,671
  6. Step 6: Final answer
    x = 489,902.09

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.