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Finding the Third Proportional to 173,899.13 and 264,493.88

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Solution

The third proportional to 173,899.13 and 264,493.88 is: 402,285.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,899.13 : 264,493.88 = 264,493.88 : x
  2. Step 2: Convert to fraction form
    173,899.13/264,493.88 = 264,493.88/x
  3. Step 3: Cross multiply
    173,899.13x = 264,493.88 × 264,493.88
  4. Step 4: Simplify right side
    173,899.13x = 69,957,009,912.52
  5. Step 5: Solve for x
    x = 69,957,009,912.52/173,899.13
  6. Step 6: Final answer
    x = 402,285.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.