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Finding the Third Proportional to 105,844.50 and 228,308

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Solution

The third proportional to 105,844.50 and 228,308 is: 492,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844.50 : 228,308 = 228,308 : x
  2. Step 2: Convert to fraction form
    105,844.50/228,308 = 228,308/x
  3. Step 3: Cross multiply
    105,844.50x = 228,308 × 228,308
  4. Step 4: Simplify right side
    105,844.50x = 52,124,542,864
  5. Step 5: Solve for x
    x = 52,124,542,864/105,844.50
  6. Step 6: Final answer
    x = 492,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.