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Finding the Third Proportional to 172,482.75 and 261,643.50

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Solution

The third proportional to 172,482.75 and 261,643.50 is: 396,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,482.75 : 261,643.50 = 261,643.50 : x
  2. Step 2: Convert to fraction form
    172,482.75/261,643.50 = 261,643.50/x
  3. Step 3: Cross multiply
    172,482.75x = 261,643.50 × 261,643.50
  4. Step 4: Simplify right side
    172,482.75x = 68,457,321,092.25
  5. Step 5: Solve for x
    x = 68,457,321,092.25/172,482.75
  6. Step 6: Final answer
    x = 396,893.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.