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Finding the Third Proportional to 235,195.31 and 353,322.84

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Solution

The third proportional to 235,195.31 and 353,322.84 is: 530,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,195.31 : 353,322.84 = 353,322.84 : x
  2. Step 2: Convert to fraction form
    235,195.31/353,322.84 = 353,322.84/x
  3. Step 3: Cross multiply
    235,195.31x = 353,322.84 × 353,322.84
  4. Step 4: Simplify right side
    235,195.31x = 124,837,031,915.59
  5. Step 5: Solve for x
    x = 124,837,031,915.59/235,195.31
  6. Step 6: Final answer
    x = 530,780.27

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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.