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Finding the Third Proportional to 235,259.44 and 353,420.72

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Solution

The third proportional to 235,259.44 and 353,420.72 is: 530,929.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,259.44 : 353,420.72 = 353,420.72 : x
  2. Step 2: Convert to fraction form
    235,259.44/353,420.72 = 353,420.72/x
  3. Step 3: Cross multiply
    235,259.44x = 353,420.72 × 353,420.72
  4. Step 4: Simplify right side
    235,259.44x = 124,906,204,441.77
  5. Step 5: Solve for x
    x = 124,906,204,441.77/235,259.44
  6. Step 6: Final answer
    x = 530,929.62

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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.