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Finding the Third Proportional to 165,223.13 and 344,692.13

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Solution

The third proportional to 165,223.13 and 344,692.13 is: 719,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,223.13 : 344,692.13 = 344,692.13 : x
  2. Step 2: Convert to fraction form
    165,223.13/344,692.13 = 344,692.13/x
  3. Step 3: Cross multiply
    165,223.13x = 344,692.13 × 344,692.13
  4. Step 4: Simplify right side
    165,223.13x = 118,812,661,037.02
  5. Step 5: Solve for x
    x = 118,812,661,037.02/165,223.13
  6. Step 6: Final answer
    x = 719,104.31

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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.