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Finding the Third Proportional to 127,324.41 and 196,522.45

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Solution

The third proportional to 127,324.41 and 196,522.45 is: 303,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,324.41 : 196,522.45 = 196,522.45 : x
  2. Step 2: Convert to fraction form
    127,324.41/196,522.45 = 196,522.45/x
  3. Step 3: Cross multiply
    127,324.41x = 196,522.45 × 196,522.45
  4. Step 4: Simplify right side
    127,324.41x = 38,621,074,582.27
  5. Step 5: Solve for x
    x = 38,621,074,582.27/127,324.41
  6. Step 6: Final answer
    x = 303,328.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.