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Finding the Third Proportional to 183,966.19 and 275,964.47

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Solution

The third proportional to 183,966.19 and 275,964.47 is: 413,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,966.19 : 275,964.47 = 275,964.47 : x
  2. Step 2: Convert to fraction form
    183,966.19/275,964.47 = 275,964.47/x
  3. Step 3: Cross multiply
    183,966.19x = 275,964.47 × 275,964.47
  4. Step 4: Simplify right side
    183,966.19x = 76,156,388,012.47
  5. Step 5: Solve for x
    x = 76,156,388,012.47/183,966.19
  6. Step 6: Final answer
    x = 413,969.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.