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Finding the Third Proportional to 163,017 and 345,660

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Solution

The third proportional to 163,017 and 345,660 is: 732,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,017 : 345,660 = 345,660 : x
  2. Step 2: Convert to fraction form
    163,017/345,660 = 345,660/x
  3. Step 3: Cross multiply
    163,017x = 345,660 × 345,660
  4. Step 4: Simplify right side
    163,017x = 119,480,835,600
  5. Step 5: Solve for x
    x = 119,480,835,600/163,017
  6. Step 6: Final answer
    x = 732,934.82

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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.