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Finding the Third Proportional to 173,860 and 277,624

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Solution

The third proportional to 173,860 and 277,624 is: 443,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,860 : 277,624 = 277,624 : x
  2. Step 2: Convert to fraction form
    173,860/277,624 = 277,624/x
  3. Step 3: Cross multiply
    173,860x = 277,624 × 277,624
  4. Step 4: Simplify right side
    173,860x = 77,075,085,376
  5. Step 5: Solve for x
    x = 77,075,085,376/173,860
  6. Step 6: Final answer
    x = 443,316.95

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.