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Finding the Third Proportional to 204,295.50 and 430,903.13

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Solution

The third proportional to 204,295.50 and 430,903.13 is: 908,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,295.50 : 430,903.13 = 430,903.13 : x
  2. Step 2: Convert to fraction form
    204,295.50/430,903.13 = 430,903.13/x
  3. Step 3: Cross multiply
    204,295.50x = 430,903.13 × 430,903.13
  4. Step 4: Simplify right side
    204,295.50x = 185,677,503,134.77
  5. Step 5: Solve for x
    x = 185,677,503,134.77/204,295.50
  6. Step 6: Final answer
    x = 908,867.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.