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Finding the Third Proportional to 114,923.81 and 182,629.69

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Solution

The third proportional to 114,923.81 and 182,629.69 is: 290,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,923.81 : 182,629.69 = 182,629.69 : x
  2. Step 2: Convert to fraction form
    114,923.81/182,629.69 = 182,629.69/x
  3. Step 3: Cross multiply
    114,923.81x = 182,629.69 × 182,629.69
  4. Step 4: Simplify right side
    114,923.81x = 33,353,602,756.35
  5. Step 5: Solve for x
    x = 33,353,602,756.35/114,923.81
  6. Step 6: Final answer
    x = 290,223.60

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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.