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Finding the Third Proportional to 163,583 and 352,942

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Solution

The third proportional to 163,583 and 352,942 is: 761,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,583 : 352,942 = 352,942 : x
  2. Step 2: Convert to fraction form
    163,583/352,942 = 352,942/x
  3. Step 3: Cross multiply
    163,583x = 352,942 × 352,942
  4. Step 4: Simplify right side
    163,583x = 124,568,055,364
  5. Step 5: Solve for x
    x = 124,568,055,364/163,583
  6. Step 6: Final answer
    x = 761,497.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.