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Finding the Third Proportional to 248,601 and 380,125.50

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Solution

The third proportional to 248,601 and 380,125.50 is: 581,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,601 : 380,125.50 = 380,125.50 : x
  2. Step 2: Convert to fraction form
    248,601/380,125.50 = 380,125.50/x
  3. Step 3: Cross multiply
    248,601x = 380,125.50 × 380,125.50
  4. Step 4: Simplify right side
    248,601x = 144,495,395,750.25
  5. Step 5: Solve for x
    x = 144,495,395,750.25/248,601
  6. Step 6: Final answer
    x = 581,234.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.