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Finding the Third Proportional to 173,205 and 371,466

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Solution

The third proportional to 173,205 and 371,466 is: 796,668.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,205 : 371,466 = 371,466 : x
  2. Step 2: Convert to fraction form
    173,205/371,466 = 371,466/x
  3. Step 3: Cross multiply
    173,205x = 371,466 × 371,466
  4. Step 4: Simplify right side
    173,205x = 137,986,989,156
  5. Step 5: Solve for x
    x = 137,986,989,156/173,205
  6. Step 6: Final answer
    x = 796,668.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.