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Finding the Third Proportional to 187,783.50 and 405,057

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Solution

The third proportional to 187,783.50 and 405,057 is: 873,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,783.50 : 405,057 = 405,057 : x
  2. Step 2: Convert to fraction form
    187,783.50/405,057 = 405,057/x
  3. Step 3: Cross multiply
    187,783.50x = 405,057 × 405,057
  4. Step 4: Simplify right side
    187,783.50x = 164,071,173,249
  5. Step 5: Solve for x
    x = 164,071,173,249/187,783.50
  6. Step 6: Final answer
    x = 873,725.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.