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Finding the Third Proportional to 177,369.75 and 210,174.75

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Solution

The third proportional to 177,369.75 and 210,174.75 is: 249,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,369.75 : 210,174.75 = 210,174.75 : x
  2. Step 2: Convert to fraction form
    177,369.75/210,174.75 = 210,174.75/x
  3. Step 3: Cross multiply
    177,369.75x = 210,174.75 × 210,174.75
  4. Step 4: Simplify right side
    177,369.75x = 44,173,425,537.56
  5. Step 5: Solve for x
    x = 44,173,425,537.56/177,369.75
  6. Step 6: Final answer
    x = 249,047.12

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.