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Finding the Third Proportional to 232,196 and 354,299.50

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Solution

The third proportional to 232,196 and 354,299.50 is: 540,612.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,196 : 354,299.50 = 354,299.50 : x
  2. Step 2: Convert to fraction form
    232,196/354,299.50 = 354,299.50/x
  3. Step 3: Cross multiply
    232,196x = 354,299.50 × 354,299.50
  4. Step 4: Simplify right side
    232,196x = 125,528,135,700.25
  5. Step 5: Solve for x
    x = 125,528,135,700.25/232,196
  6. Step 6: Final answer
    x = 540,612.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.