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Finding the Third Proportional to 103,888 and 224,385

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Solution

The third proportional to 103,888 and 224,385 is: 484,643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,888 : 224,385 = 224,385 : x
  2. Step 2: Convert to fraction form
    103,888/224,385 = 224,385/x
  3. Step 3: Cross multiply
    103,888x = 224,385 × 224,385
  4. Step 4: Simplify right side
    103,888x = 50,348,628,225
  5. Step 5: Solve for x
    x = 50,348,628,225/103,888
  6. Step 6: Final answer
    x = 484,643.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.