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Finding the Third Proportional to 173,802 and 276,565

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Solution

The third proportional to 173,802 and 276,565 is: 440,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,802 : 276,565 = 276,565 : x
  2. Step 2: Convert to fraction form
    173,802/276,565 = 276,565/x
  3. Step 3: Cross multiply
    173,802x = 276,565 × 276,565
  4. Step 4: Simplify right side
    173,802x = 76,488,199,225
  5. Step 5: Solve for x
    x = 76,488,199,225/173,802
  6. Step 6: Final answer
    x = 440,088.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.