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Finding the Third Proportional to 173,762 and 268,624

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Solution

The third proportional to 173,762 and 268,624 is: 415,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,762 : 268,624 = 268,624 : x
  2. Step 2: Convert to fraction form
    173,762/268,624 = 268,624/x
  3. Step 3: Cross multiply
    173,762x = 268,624 × 268,624
  4. Step 4: Simplify right side
    173,762x = 72,158,853,376
  5. Step 5: Solve for x
    x = 72,158,853,376/173,762
  6. Step 6: Final answer
    x = 415,274.07

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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.