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Finding the Third Proportional to 173,202 and 259,101

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Solution

The third proportional to 173,202 and 259,101 is: 387,601.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,202 : 259,101 = 259,101 : x
  2. Step 2: Convert to fraction form
    173,202/259,101 = 259,101/x
  3. Step 3: Cross multiply
    173,202x = 259,101 × 259,101
  4. Step 4: Simplify right side
    173,202x = 67,133,328,201
  5. Step 5: Solve for x
    x = 67,133,328,201/173,202
  6. Step 6: Final answer
    x = 387,601.35

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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.