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Finding the Third Proportional to 235,052 and 353,096

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Solution

The third proportional to 235,052 and 353,096 is: 530,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,052 : 353,096 = 353,096 : x
  2. Step 2: Convert to fraction form
    235,052/353,096 = 353,096/x
  3. Step 3: Cross multiply
    235,052x = 353,096 × 353,096
  4. Step 4: Simplify right side
    235,052x = 124,676,785,216
  5. Step 5: Solve for x
    x = 124,676,785,216/235,052
  6. Step 6: Final answer
    x = 530,422.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.