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Finding the Third Proportional to 172,105 and 372,807.50

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Solution

The third proportional to 172,105 and 372,807.50 is: 807,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,105 : 372,807.50 = 372,807.50 : x
  2. Step 2: Convert to fraction form
    172,105/372,807.50 = 372,807.50/x
  3. Step 3: Cross multiply
    172,105x = 372,807.50 × 372,807.50
  4. Step 4: Simplify right side
    172,105x = 138,985,432,056.25
  5. Step 5: Solve for x
    x = 138,985,432,056.25/172,105
  6. Step 6: Final answer
    x = 807,561.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.