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Finding the Third Proportional to 173,523 and 262,473

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Solution

The third proportional to 173,523 and 262,473 is: 397,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,523 : 262,473 = 262,473 : x
  2. Step 2: Convert to fraction form
    173,523/262,473 = 262,473/x
  3. Step 3: Cross multiply
    173,523x = 262,473 × 262,473
  4. Step 4: Simplify right side
    173,523x = 68,892,075,729
  5. Step 5: Solve for x
    x = 68,892,075,729/173,523
  6. Step 6: Final answer
    x = 397,019.85

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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.