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Finding the Third Proportional to 114,166.13 and 183,444.75

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Solution

The third proportional to 114,166.13 and 183,444.75 is: 294,763.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,166.13 : 183,444.75 = 183,444.75 : x
  2. Step 2: Convert to fraction form
    114,166.13/183,444.75 = 183,444.75/x
  3. Step 3: Cross multiply
    114,166.13x = 183,444.75 × 183,444.75
  4. Step 4: Simplify right side
    114,166.13x = 33,651,976,302.56
  5. Step 5: Solve for x
    x = 33,651,976,302.56/114,166.13
  6. Step 6: Final answer
    x = 294,763.23

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.