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Finding the Third Proportional to 187,165.50 and 405,858

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Solution

The third proportional to 187,165.50 and 405,858 is: 880,080.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,165.50 : 405,858 = 405,858 : x
  2. Step 2: Convert to fraction form
    187,165.50/405,858 = 405,858/x
  3. Step 3: Cross multiply
    187,165.50x = 405,858 × 405,858
  4. Step 4: Simplify right side
    187,165.50x = 164,720,716,164
  5. Step 5: Solve for x
    x = 164,720,716,164/187,165.50
  6. Step 6: Final answer
    x = 880,080.55

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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.