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Finding the Third Proportional to 165,562.50 and 346,115

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Solution

The third proportional to 165,562.50 and 346,115 is: 723,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,562.50 : 346,115 = 346,115 : x
  2. Step 2: Convert to fraction form
    165,562.50/346,115 = 346,115/x
  3. Step 3: Cross multiply
    165,562.50x = 346,115 × 346,115
  4. Step 4: Simplify right side
    165,562.50x = 119,795,593,225
  5. Step 5: Solve for x
    x = 119,795,593,225/165,562.50
  6. Step 6: Final answer
    x = 723,567.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.