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Finding the Third Proportional to 173,610 and 270,565

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Solution

The third proportional to 173,610 and 270,565 is: 421,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,610 : 270,565 = 270,565 : x
  2. Step 2: Convert to fraction form
    173,610/270,565 = 270,565/x
  3. Step 3: Cross multiply
    173,610x = 270,565 × 270,565
  4. Step 4: Simplify right side
    173,610x = 73,205,419,225
  5. Step 5: Solve for x
    x = 73,205,419,225/173,610
  6. Step 6: Final answer
    x = 421,665.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.