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Finding the Third Proportional to 235,204 and 354,964

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Solution

The third proportional to 235,204 and 354,964 is: 535,702.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,204 : 354,964 = 354,964 : x
  2. Step 2: Convert to fraction form
    235,204/354,964 = 354,964/x
  3. Step 3: Cross multiply
    235,204x = 354,964 × 354,964
  4. Step 4: Simplify right side
    235,204x = 125,999,441,296
  5. Step 5: Solve for x
    x = 125,999,441,296/235,204
  6. Step 6: Final answer
    x = 535,702.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.