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Finding the Third Proportional to 173,712 and 259,546.50

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Solution

The third proportional to 173,712 and 259,546.50 is: 387,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,712 : 259,546.50 = 259,546.50 : x
  2. Step 2: Convert to fraction form
    173,712/259,546.50 = 259,546.50/x
  3. Step 3: Cross multiply
    173,712x = 259,546.50 × 259,546.50
  4. Step 4: Simplify right side
    173,712x = 67,364,385,662.25
  5. Step 5: Solve for x
    x = 67,364,385,662.25/173,712
  6. Step 6: Final answer
    x = 387,793.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.