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Finding the Third Proportional to 116,614 and 183,330

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Solution

The third proportional to 116,614 and 183,330 is: 288,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,614 : 183,330 = 183,330 : x
  2. Step 2: Convert to fraction form
    116,614/183,330 = 183,330/x
  3. Step 3: Cross multiply
    116,614x = 183,330 × 183,330
  4. Step 4: Simplify right side
    116,614x = 33,609,888,900
  5. Step 5: Solve for x
    x = 33,609,888,900/116,614
  6. Step 6: Final answer
    x = 288,214.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.