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Finding the Third Proportional to 232,982.25 and 346,191.75

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Solution

The third proportional to 232,982.25 and 346,191.75 is: 514,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,982.25 : 346,191.75 = 346,191.75 : x
  2. Step 2: Convert to fraction form
    232,982.25/346,191.75 = 346,191.75/x
  3. Step 3: Cross multiply
    232,982.25x = 346,191.75 × 346,191.75
  4. Step 4: Simplify right side
    232,982.25x = 119,848,727,768.06
  5. Step 5: Solve for x
    x = 119,848,727,768.06/232,982.25
  6. Step 6: Final answer
    x = 514,411.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.