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Finding the Third Proportional to 125,257.50 and 262,823.63

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Solution

The third proportional to 125,257.50 and 262,823.63 is: 551,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,257.50 : 262,823.63 = 262,823.63 : x
  2. Step 2: Convert to fraction form
    125,257.50/262,823.63 = 262,823.63/x
  3. Step 3: Cross multiply
    125,257.50x = 262,823.63 × 262,823.63
  4. Step 4: Simplify right side
    125,257.50x = 69,076,257,858.14
  5. Step 5: Solve for x
    x = 69,076,257,858.14/125,257.50
  6. Step 6: Final answer
    x = 551,474.03

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.