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Finding the Third Proportional to 103,312 and 226,280

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Solution

The third proportional to 103,312 and 226,280 is: 495,611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,312 : 226,280 = 226,280 : x
  2. Step 2: Convert to fraction form
    103,312/226,280 = 226,280/x
  3. Step 3: Cross multiply
    103,312x = 226,280 × 226,280
  4. Step 4: Simplify right side
    103,312x = 51,202,638,400
  5. Step 5: Solve for x
    x = 51,202,638,400/103,312
  6. Step 6: Final answer
    x = 495,611.72

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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.