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Finding the Third Proportional to 163,361 and 346,549

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Solution

The third proportional to 163,361 and 346,549 is: 735,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,361 : 346,549 = 346,549 : x
  2. Step 2: Convert to fraction form
    163,361/346,549 = 346,549/x
  3. Step 3: Cross multiply
    163,361x = 346,549 × 346,549
  4. Step 4: Simplify right side
    163,361x = 120,096,209,401
  5. Step 5: Solve for x
    x = 120,096,209,401/163,361
  6. Step 6: Final answer
    x = 735,158.39

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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.