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Finding the Third Proportional to 160,383.94 and 224,227.13

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Solution

The third proportional to 160,383.94 and 224,227.13 is: 313,484.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,383.94 : 224,227.13 = 224,227.13 : x
  2. Step 2: Convert to fraction form
    160,383.94/224,227.13 = 224,227.13/x
  3. Step 3: Cross multiply
    160,383.94x = 224,227.13 × 224,227.13
  4. Step 4: Simplify right side
    160,383.94x = 50,277,803,585.77
  5. Step 5: Solve for x
    x = 50,277,803,585.77/160,383.94
  6. Step 6: Final answer
    x = 313,484.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.