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Finding the Third Proportional to 173,622.50 and 260,896.50

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Solution

The third proportional to 173,622.50 and 260,896.50 is: 392,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,622.50 : 260,896.50 = 260,896.50 : x
  2. Step 2: Convert to fraction form
    173,622.50/260,896.50 = 260,896.50/x
  3. Step 3: Cross multiply
    173,622.50x = 260,896.50 × 260,896.50
  4. Step 4: Simplify right side
    173,622.50x = 68,066,983,712.25
  5. Step 5: Solve for x
    x = 68,066,983,712.25/173,622.50
  6. Step 6: Final answer
    x = 392,040.11

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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.