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Finding the Third Proportional to 169,378.50 and 262,410

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Solution

The third proportional to 169,378.50 and 262,410 is: 406,539.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,378.50 : 262,410 = 262,410 : x
  2. Step 2: Convert to fraction form
    169,378.50/262,410 = 262,410/x
  3. Step 3: Cross multiply
    169,378.50x = 262,410 × 262,410
  4. Step 4: Simplify right side
    169,378.50x = 68,859,008,100
  5. Step 5: Solve for x
    x = 68,859,008,100/169,378.50
  6. Step 6: Final answer
    x = 406,539.25

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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.