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Finding the Third Proportional to 183,044.50 and 397,574.10

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Solution

The third proportional to 183,044.50 and 397,574.10 is: 863,534.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,044.50 : 397,574.10 = 397,574.10 : x
  2. Step 2: Convert to fraction form
    183,044.50/397,574.10 = 397,574.10/x
  3. Step 3: Cross multiply
    183,044.50x = 397,574.10 × 397,574.10
  4. Step 4: Simplify right side
    183,044.50x = 158,065,167,786.25
  5. Step 5: Solve for x
    x = 158,065,167,786.25/183,044.50
  6. Step 6: Final answer
    x = 863,534.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.