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Finding the Third Proportional to 103,045 and 224,236

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Solution

The third proportional to 103,045 and 224,236 is: 487,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,045 : 224,236 = 224,236 : x
  2. Step 2: Convert to fraction form
    103,045/224,236 = 224,236/x
  3. Step 3: Cross multiply
    103,045x = 224,236 × 224,236
  4. Step 4: Simplify right side
    103,045x = 50,281,783,696
  5. Step 5: Solve for x
    x = 50,281,783,696/103,045
  6. Step 6: Final answer
    x = 487,959.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.