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Finding the Third Proportional to 106,364.50 and 224,348

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Solution

The third proportional to 106,364.50 and 224,348 is: 473,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.50 : 224,348 = 224,348 : x
  2. Step 2: Convert to fraction form
    106,364.50/224,348 = 224,348/x
  3. Step 3: Cross multiply
    106,364.50x = 224,348 × 224,348
  4. Step 4: Simplify right side
    106,364.50x = 50,332,025,104
  5. Step 5: Solve for x
    x = 50,332,025,104/106,364.50
  6. Step 6: Final answer
    x = 473,203.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.