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Finding the Third Proportional to 163,422 and 245,050

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Solution

The third proportional to 163,422 and 245,050 is: 367,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,422 : 245,050 = 245,050 : x
  2. Step 2: Convert to fraction form
    163,422/245,050 = 245,050/x
  3. Step 3: Cross multiply
    163,422x = 245,050 × 245,050
  4. Step 4: Simplify right side
    163,422x = 60,049,502,500
  5. Step 5: Solve for x
    x = 60,049,502,500/163,422
  6. Step 6: Final answer
    x = 367,450.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.