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Finding the Third Proportional to 105,154.50 and 228,054

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Solution

The third proportional to 105,154.50 and 228,054 is: 494,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,154.50 : 228,054 = 228,054 : x
  2. Step 2: Convert to fraction form
    105,154.50/228,054 = 228,054/x
  3. Step 3: Cross multiply
    105,154.50x = 228,054 × 228,054
  4. Step 4: Simplify right side
    105,154.50x = 52,008,626,916
  5. Step 5: Solve for x
    x = 52,008,626,916/105,154.50
  6. Step 6: Final answer
    x = 494,592.50

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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.