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Finding the Third Proportional to 105,360.50 and 228,217

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Solution

The third proportional to 105,360.50 and 228,217 is: 494,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,360.50 : 228,217 = 228,217 : x
  2. Step 2: Convert to fraction form
    105,360.50/228,217 = 228,217/x
  3. Step 3: Cross multiply
    105,360.50x = 228,217 × 228,217
  4. Step 4: Simplify right side
    105,360.50x = 52,082,999,089
  5. Step 5: Solve for x
    x = 52,082,999,089/105,360.50
  6. Step 6: Final answer
    x = 494,331.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.