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Finding the Third Proportional to 173,160 and 260,243

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Solution

The third proportional to 173,160 and 260,243 is: 391,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,160 : 260,243 = 260,243 : x
  2. Step 2: Convert to fraction form
    173,160/260,243 = 260,243/x
  3. Step 3: Cross multiply
    173,160x = 260,243 × 260,243
  4. Step 4: Simplify right side
    173,160x = 67,726,419,049
  5. Step 5: Solve for x
    x = 67,726,419,049/173,160
  6. Step 6: Final answer
    x = 391,120.46

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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.