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Finding the Third Proportional to 183,952 and 375,680

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Solution

The third proportional to 183,952 and 375,680 is: 767,240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,952 : 375,680 = 375,680 : x
  2. Step 2: Convert to fraction form
    183,952/375,680 = 375,680/x
  3. Step 3: Cross multiply
    183,952x = 375,680 × 375,680
  4. Step 4: Simplify right side
    183,952x = 141,135,462,400
  5. Step 5: Solve for x
    x = 141,135,462,400/183,952
  6. Step 6: Final answer
    x = 767,240.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.