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Finding the Third Proportional to 168,154 and 245,765

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Solution

The third proportional to 168,154 and 245,765 is: 359,197.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,154 : 245,765 = 245,765 : x
  2. Step 2: Convert to fraction form
    168,154/245,765 = 245,765/x
  3. Step 3: Cross multiply
    168,154x = 245,765 × 245,765
  4. Step 4: Simplify right side
    168,154x = 60,400,435,225
  5. Step 5: Solve for x
    x = 60,400,435,225/168,154
  6. Step 6: Final answer
    x = 359,197.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.