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Finding the Third Proportional to 232,980.75 and 346,189.50

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Solution

The third proportional to 232,980.75 and 346,189.50 is: 514,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,980.75 : 346,189.50 = 346,189.50 : x
  2. Step 2: Convert to fraction form
    232,980.75/346,189.50 = 346,189.50/x
  3. Step 3: Cross multiply
    232,980.75x = 346,189.50 × 346,189.50
  4. Step 4: Simplify right side
    232,980.75x = 119,847,169,910.25
  5. Step 5: Solve for x
    x = 119,847,169,910.25/232,980.75
  6. Step 6: Final answer
    x = 514,408.04

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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.