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Finding the Third Proportional to 172,627.88 and 369,238.50

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Solution

The third proportional to 172,627.88 and 369,238.50 is: 789,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,627.88 : 369,238.50 = 369,238.50 : x
  2. Step 2: Convert to fraction form
    172,627.88/369,238.50 = 369,238.50/x
  3. Step 3: Cross multiply
    172,627.88x = 369,238.50 × 369,238.50
  4. Step 4: Simplify right side
    172,627.88x = 136,337,069,882.25
  5. Step 5: Solve for x
    x = 136,337,069,882.25/172,627.88
  6. Step 6: Final answer
    x = 789,774.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.