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Finding the Third Proportional to 171,058.50 and 264,889.50

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Solution

The third proportional to 171,058.50 and 264,889.50 is: 410,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,058.50 : 264,889.50 = 264,889.50 : x
  2. Step 2: Convert to fraction form
    171,058.50/264,889.50 = 264,889.50/x
  3. Step 3: Cross multiply
    171,058.50x = 264,889.50 × 264,889.50
  4. Step 4: Simplify right side
    171,058.50x = 70,166,447,210.25
  5. Step 5: Solve for x
    x = 70,166,447,210.25/171,058.50
  6. Step 6: Final answer
    x = 410,189.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.