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Finding the Third Proportional to 159,656 and 245,477

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Solution

The third proportional to 159,656 and 245,477 is: 377,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,656 : 245,477 = 245,477 : x
  2. Step 2: Convert to fraction form
    159,656/245,477 = 245,477/x
  3. Step 3: Cross multiply
    159,656x = 245,477 × 245,477
  4. Step 4: Simplify right side
    159,656x = 60,258,957,529
  5. Step 5: Solve for x
    x = 60,258,957,529/159,656
  6. Step 6: Final answer
    x = 377,429.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.