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Finding the Third Proportional to 173,142 and 259,024

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Solution

The third proportional to 173,142 and 259,024 is: 387,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,142 : 259,024 = 259,024 : x
  2. Step 2: Convert to fraction form
    173,142/259,024 = 259,024/x
  3. Step 3: Cross multiply
    173,142x = 259,024 × 259,024
  4. Step 4: Simplify right side
    173,142x = 67,093,432,576
  5. Step 5: Solve for x
    x = 67,093,432,576/173,142
  6. Step 6: Final answer
    x = 387,505.24

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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.