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Finding the Third Proportional to 228,970.50 and 335,253

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Solution

The third proportional to 228,970.50 and 335,253 is: 490,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,970.50 : 335,253 = 335,253 : x
  2. Step 2: Convert to fraction form
    228,970.50/335,253 = 335,253/x
  3. Step 3: Cross multiply
    228,970.50x = 335,253 × 335,253
  4. Step 4: Simplify right side
    228,970.50x = 112,394,574,009
  5. Step 5: Solve for x
    x = 112,394,574,009/228,970.50
  6. Step 6: Final answer
    x = 490,869.23

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Why These Related Problems?

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