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Finding the Third Proportional to 163,000 and 345,624

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Solution

The third proportional to 163,000 and 345,624 is: 732,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,000 : 345,624 = 345,624 : x
  2. Step 2: Convert to fraction form
    163,000/345,624 = 345,624/x
  3. Step 3: Cross multiply
    163,000x = 345,624 × 345,624
  4. Step 4: Simplify right side
    163,000x = 119,455,949,376
  5. Step 5: Solve for x
    x = 119,455,949,376/163,000
  6. Step 6: Final answer
    x = 732,858.59

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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.