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Finding the Third Proportional to 173,515 and 262,461

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Solution

The third proportional to 173,515 and 262,461 is: 397,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,515 : 262,461 = 262,461 : x
  2. Step 2: Convert to fraction form
    173,515/262,461 = 262,461/x
  3. Step 3: Cross multiply
    173,515x = 262,461 × 262,461
  4. Step 4: Simplify right side
    173,515x = 68,885,776,521
  5. Step 5: Solve for x
    x = 68,885,776,521/173,515
  6. Step 6: Final answer
    x = 397,001.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.