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Finding the Third Proportional to 169,251 and 352,678.50

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Solution

The third proportional to 169,251 and 352,678.50 is: 734,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,251 : 352,678.50 = 352,678.50 : x
  2. Step 2: Convert to fraction form
    169,251/352,678.50 = 352,678.50/x
  3. Step 3: Cross multiply
    169,251x = 352,678.50 × 352,678.50
  4. Step 4: Simplify right side
    169,251x = 124,382,124,362.25
  5. Step 5: Solve for x
    x = 124,382,124,362.25/169,251
  6. Step 6: Final answer
    x = 734,897.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.