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Finding the Third Proportional to 235,194 and 353,323

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Solution

The third proportional to 235,194 and 353,323 is: 530,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,194 : 353,323 = 353,323 : x
  2. Step 2: Convert to fraction form
    235,194/353,323 = 353,323/x
  3. Step 3: Cross multiply
    235,194x = 353,323 × 353,323
  4. Step 4: Simplify right side
    235,194x = 124,837,142,329
  5. Step 5: Solve for x
    x = 124,837,142,329/235,194
  6. Step 6: Final answer
    x = 530,783.70

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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.