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Finding the Third Proportional to 163,602 and 346,977

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Solution

The third proportional to 163,602 and 346,977 is: 735,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,602 : 346,977 = 346,977 : x
  2. Step 2: Convert to fraction form
    163,602/346,977 = 346,977/x
  3. Step 3: Cross multiply
    163,602x = 346,977 × 346,977
  4. Step 4: Simplify right side
    163,602x = 120,393,038,529
  5. Step 5: Solve for x
    x = 120,393,038,529/163,602
  6. Step 6: Final answer
    x = 735,889.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.