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Finding the Third Proportional to 169,300.13 and 224,744.63

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Solution

The third proportional to 169,300.13 and 224,744.63 is: 298,346.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,300.13 : 224,744.63 = 224,744.63 : x
  2. Step 2: Convert to fraction form
    169,300.13/224,744.63 = 224,744.63/x
  3. Step 3: Cross multiply
    169,300.13x = 224,744.63 × 224,744.63
  4. Step 4: Simplify right side
    169,300.13x = 50,510,146,466.39
  5. Step 5: Solve for x
    x = 50,510,146,466.39/169,300.13
  6. Step 6: Final answer
    x = 298,346.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.