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Finding the Third Proportional to 188,084.53 and 405,693.56

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Solution

The third proportional to 188,084.53 and 405,693.56 is: 875,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,084.53 : 405,693.56 = 405,693.56 : x
  2. Step 2: Convert to fraction form
    188,084.53/405,693.56 = 405,693.56/x
  3. Step 3: Cross multiply
    188,084.53x = 405,693.56 × 405,693.56
  4. Step 4: Simplify right side
    188,084.53x = 164,587,266,653.94
  5. Step 5: Solve for x
    x = 164,587,266,653.94/188,084.53
  6. Step 6: Final answer
    x = 875,070.72

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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.