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Finding the Third Proportional to 106,677 and 256,000.50

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Solution

The third proportional to 106,677 and 256,000.50 is: 614,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,677 : 256,000.50 = 256,000.50 : x
  2. Step 2: Convert to fraction form
    106,677/256,000.50 = 256,000.50/x
  3. Step 3: Cross multiply
    106,677x = 256,000.50 × 256,000.50
  4. Step 4: Simplify right side
    106,677x = 65,536,256,000.25
  5. Step 5: Solve for x
    x = 65,536,256,000.25/106,677
  6. Step 6: Final answer
    x = 614,342.89

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.