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Finding the Third Proportional to 117,816.75 and 187,284.38

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Solution

The third proportional to 117,816.75 and 187,284.38 is: 297,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,816.75 : 187,284.38 = 187,284.38 : x
  2. Step 2: Convert to fraction form
    117,816.75/187,284.38 = 187,284.38/x
  3. Step 3: Cross multiply
    117,816.75x = 187,284.38 × 187,284.38
  4. Step 4: Simplify right side
    117,816.75x = 35,075,437,119.14
  5. Step 5: Solve for x
    x = 35,075,437,119.14/117,816.75
  6. Step 6: Final answer
    x = 297,711.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.