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Finding the Third Proportional to 163,006 and 345,638

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Solution

The third proportional to 163,006 and 345,638 is: 732,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,006 : 345,638 = 345,638 : x
  2. Step 2: Convert to fraction form
    163,006/345,638 = 345,638/x
  3. Step 3: Cross multiply
    163,006x = 345,638 × 345,638
  4. Step 4: Simplify right side
    163,006x = 119,465,627,044
  5. Step 5: Solve for x
    x = 119,465,627,044/163,006
  6. Step 6: Final answer
    x = 732,890.98

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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.