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Finding the Third Proportional to 165,563.50 and 346,117

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Solution

The third proportional to 165,563.50 and 346,117 is: 723,571.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,563.50 : 346,117 = 346,117 : x
  2. Step 2: Convert to fraction form
    165,563.50/346,117 = 346,117/x
  3. Step 3: Cross multiply
    165,563.50x = 346,117 × 346,117
  4. Step 4: Simplify right side
    165,563.50x = 119,796,977,689
  5. Step 5: Solve for x
    x = 119,796,977,689/165,563.50
  6. Step 6: Final answer
    x = 723,571.18

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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.