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Finding the Third Proportional to 232,298 and 347,535

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Solution

The third proportional to 232,298 and 347,535 is: 519,938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,298 : 347,535 = 347,535 : x
  2. Step 2: Convert to fraction form
    232,298/347,535 = 347,535/x
  3. Step 3: Cross multiply
    232,298x = 347,535 × 347,535
  4. Step 4: Simplify right side
    232,298x = 120,780,576,225
  5. Step 5: Solve for x
    x = 120,780,576,225/232,298
  6. Step 6: Final answer
    x = 519,938.08

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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.