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Finding the Third Proportional to 114,700.50 and 182,192.06

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Solution

The third proportional to 114,700.50 and 182,192.06 is: 289,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,700.50 : 182,192.06 = 182,192.06 : x
  2. Step 2: Convert to fraction form
    114,700.50/182,192.06 = 182,192.06/x
  3. Step 3: Cross multiply
    114,700.50x = 182,192.06 × 182,192.06
  4. Step 4: Simplify right side
    114,700.50x = 33,193,947,638.00
  5. Step 5: Solve for x
    x = 33,193,947,638.00/114,700.50
  6. Step 6: Final answer
    x = 289,396.71

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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.