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Finding the Third Proportional to 224,574.19 and 339,195.94

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Solution

The third proportional to 224,574.19 and 339,195.94 is: 512,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,574.19 : 339,195.94 = 339,195.94 : x
  2. Step 2: Convert to fraction form
    224,574.19/339,195.94 = 339,195.94/x
  3. Step 3: Cross multiply
    224,574.19x = 339,195.94 × 339,195.94
  4. Step 4: Simplify right side
    224,574.19x = 115,053,884,016.50
  5. Step 5: Solve for x
    x = 115,053,884,016.50/224,574.19
  6. Step 6: Final answer
    x = 512,320.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.