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Finding the Third Proportional to 103,280 and 226,232

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Solution

The third proportional to 103,280 and 226,232 is: 495,554.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,280 : 226,232 = 226,232 : x
  2. Step 2: Convert to fraction form
    103,280/226,232 = 226,232/x
  3. Step 3: Cross multiply
    103,280x = 226,232 × 226,232
  4. Step 4: Simplify right side
    103,280x = 51,180,917,824
  5. Step 5: Solve for x
    x = 51,180,917,824/103,280
  6. Step 6: Final answer
    x = 495,554.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.