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Finding the Third Proportional to 228,663 and 256,000.50

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Solution

The third proportional to 228,663 and 256,000.50 is: 286,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,663 : 256,000.50 = 256,000.50 : x
  2. Step 2: Convert to fraction form
    228,663/256,000.50 = 256,000.50/x
  3. Step 3: Cross multiply
    228,663x = 256,000.50 × 256,000.50
  4. Step 4: Simplify right side
    228,663x = 65,536,256,000.25
  5. Step 5: Solve for x
    x = 65,536,256,000.25/228,663
  6. Step 6: Final answer
    x = 286,606.30

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.