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Finding the Third Proportional to 251,100 and 377,203.50

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Solution

The third proportional to 251,100 and 377,203.50 is: 566,636.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,100 : 377,203.50 = 377,203.50 : x
  2. Step 2: Convert to fraction form
    251,100/377,203.50 = 377,203.50/x
  3. Step 3: Cross multiply
    251,100x = 377,203.50 × 377,203.50
  4. Step 4: Simplify right side
    251,100x = 142,282,480,412.25
  5. Step 5: Solve for x
    x = 142,282,480,412.25/251,100
  6. Step 6: Final answer
    x = 566,636.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.