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Finding the Third Proportional to 173,478 and 268,095

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Solution

The third proportional to 173,478 and 268,095 is: 414,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,478 : 268,095 = 268,095 : x
  2. Step 2: Convert to fraction form
    173,478/268,095 = 268,095/x
  3. Step 3: Cross multiply
    173,478x = 268,095 × 268,095
  4. Step 4: Simplify right side
    173,478x = 71,874,929,025
  5. Step 5: Solve for x
    x = 71,874,929,025/173,478
  6. Step 6: Final answer
    x = 414,317.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.